FACULTY PUBLICATIONS
ASTRONOMY
The Expansion of Pluto’s Atmosphere
J.L. Elliot, A. Ates, B.A. Babcock, A.S. Bosh, M.W. Buie,
K.B. Clancy, E.W. Dunham, S.S. Eikenberry, D.T. Hall, S.D. Kern, S.K. Leggett,
S.E. Levine, D.-S. Moon, C.B. Olkin, D.J. Osip, J.M. Pasachoff, B.E. Penprase,
M.J. Person, S. Qu, J.T. Rayner, L.C. Roberts, Jr., C.V. Salyk, S.P. Souza, R.C.
Stone, B.W. Taylor, D.J. Tholen, J.E. Thomas-Osip, D.R. Ticehurst, and L.H.
Wasserman 2003
Nature,
424,
10 July 2003
We report on our observations of the occultation of the star
P131.1 by Pluto in August 2002, and on the light curve we measured at the 2.2-m
University of Hawaii telescope on Mauna Kea, as well as SpeX infrared
observations with the NASA Infrared Telescope Facility and other observations
with telescopes on Mauna Kea, on Haleakala, and at the Palomar Observatory and
the Lick Observatory. We report on drastic changes in Pluto’s atmosphere
since the 1988 observations of a Pluto occultation, including an overall
expansion.
Physical Structure of Planetary Nebulae I. The Owl
Nebula
Martín A. Guerrero, You-Hua Chu, Arturo Manchado,
and Karen B. Kwitter
The Astronomical
Journal,
125,
3213-3221 [2003]
The Owl Nebula is a triple-shell planetary nebula with the
outermost shell being a faint bow-shaped halo. We have obtained deep narrowband
images and high-dispersion echelle spectra in the H, [O III], and [N II]
emission lines to determine the physical structure of each shell in the nebula.
These spatiokinematic data allow us to rule out hydrodynamic models that can
reproduce only the nebular morphology. Our analysis shows that the inner shell
of the main nebula is slightly elongated with a bipolar cavity along its major
axis, the outer nebula is a filled envelope coexpanding with the inner shell at
40 km s-1, and the halo has been braked by the interstellar medium as the Owl
Nebula moves through it. To explain the morphology and kinematics of the Owl
Nebula, we suggest the following scenario for its formation and evolution. The
early mass loss at the TP-AGB phase forms the halo, and the superwind at the end
of the AGB phase forms the main nebula. The subsequent fast stellar wind
compressed the superwind to form the inner shell and excavated an elongated
cavity at the center, but this has ceased in the past. At the current old age
the inner shell is backfilling the central cavity.
The Forgotten Star Atlas: John Bevis’s
Uranographia Britannica
Kevin J. Kilburn, Jay M. Pasachoff, and Owen
Gingerich
Journal for the History
of Astronomy xxxiv, 125-144
[2003]
John Bevis produced a magnificently illustrated star atlas in
about 1748, but his publisher went bankrupt, leaving only the copper plates. The
plates were more detailed and included more constellations than Bayer’s
epochal atlas of 1603. They were the first to show several important
astronomical objects, including the Crab Nebula, which Bevis had discovered.
(Bevis also observed the transits of Venus of 1761 and 1769 and the sole known
transit of one planet in front of another for hundreds of years.) Both Bevis's
and Bayer's plates were based on zodiacal, rather than equatorial coordinates.
Some bound sets of the atlas, under the name Atlas Celeste, were sold in 1786.
We incorporate and bring up to date the description of Bevis's accomplishments
and the history of Bevis's publication laid out by William Ashworth in 1981. We
describe, collate, and tabulate 23 existing atlases, not all complete, almost
double the number known to Ashworth.
So, You Want to Make a Star...
Karen B. Kwitter
mental_floss
II, issue
4,
50-52 [2003]
A popular description of how stars of different masses
evolve, including their very different fates.
Sulfur, Chlorine, and Argon Abundances in Planetary Nebulae
III. Observations and Results for a Final Sample
Karen B. Kwitter, R.B.C. Henry, and J.B. Milingo
Publications of the
Astronomical Society of the Pacific,
115, 80-95 [2003]
This paper is the fourth in a series whose purpose is to
study the interstellar abundances of sulfur, chlorine, and argon in the Galaxy
using a sample of 86 planetary nebulae. Here we present new high-quality
spectrophotometric observations of 20 Galactic planetary nebulae with spectral
coverage from 3700 to 9600 Å. A major feature of our observations
throughout the entire study has been the inclusion of the near-infrared lines of
[S III] 9069,9532, which allows us to calculate accurate
S+2 abundances and to either improve
upon or convincingly confirm results of earlier sulfur abundance studies. For
each of the 20 objects here, we calculate ratios of S/O, Cl/O, and Ar/O and find
average values of S/)=(1.1±1.1) x
10-2, Cl/O=(4.2±5.3) x
10-4, and Ar/O=(5.7±4.3) x
10-3. For six objects, we are able
to compare abundances of S+3
calculated directly from available [S IV] 10.5m measurements with those
inferred indirectly from the values of the ionization correction factors for
sulfur. In the final paper of the series, we will compile results from all 86
objects, search for and evaluate trends, and use chemical evolution models to
interpret our results.
4 Terrifying Theories in Astronomy
Jay M. Pasachoff
mental_floss
II, issue
1,
48-51 + 7 [2003]
Popular summaries of the asteroid extinction of the dinosaurs
and other species, the broiling Sun we expect in a few million years, exploding
stars (supernovae), and the accelerating Universe.
Nevertheless, It Does Move Us
Jay M. Pasachoff
Science
287,
November 22, 1557-1558 [2002]
Review of Philip Glass, Arnold Weinstein, and Mary
Zimmerman’s opera Galileo
Galilei, as performed at the Brooklyn Academy of Music.
Comets, Meteors, and Eclipses: Art and Science in Early
Renaissance Italy
Jay M. Pasachoff and Roberta J.M. Olson
Meteoritics
37,
November 2002, 1563-1578
We discuss eight trecento (fourteenth century) paintings
containing depictions of astronomical events to reveal the revolutionary
advances made in both astronomy and naturalistic painting in early Renaissance
Italy, noting that an artistic interest in naturalism predisposed these
pioneering painters to make their scientific observations. In turn, the
convincing representations of their observations of astronomical phenomena in
works of art rendered their paintings more believable, convincing. Padua was
already a renowned center for mathematics and nascent astronomy (which was
separating from astrology) when Enrico Scrovegni commissioned the famous
Florentine artist Giotto di Bondone to decorate his lavish family chapel (c.
1301-3). Giotto painted a flaming comet in lieu of the traditional Star of
Bethlehem in the Adoration of the Magi scene. Moreover, he painted a historical
apparition that he recently had observed with a great accuracy even by modern
standards: Halley's Comet of 1301 (Olson, 1979). While we do not know the
identity of the artist's theological advisor, we discuss the possibility that
Pietro d'Abano, the Paduan medical doctor and "astronomer" who wrote on comets,
might have been influential. We also compare Giotto's blazing comet with two
others painted by the artist's shop in San Francesco at Assisi (before 1316) and
account for the differences. In addition, we discuss Giotto's pupil, Taddeo
Gaddi, reputed to have been partially blinded by a solar eclipse, whose calamity
may find expression in his frescoes in Santa Croce, Florence (1328-30; 1338?).
Giotto also influenced the Sienese painter Pietro Lorenzetti, two of whose
Passion cycle frescoes at Assisi (1316-20) contain dazzling meteor showers that
reveal the artist’s observed astronomical phenomena, such as the
“radiant" effect of meteor showers, first recorded by Alexander von
Humboldt in 1799 and only accepted in the nineteenth century. Lorenzetti also
painted sporadic, independent meteors, which do not emanate from the radiant. It
is also significant that these artists observed differences between comets and
meteors, facts that were not absolutely established until the eighteenth
century. In addition we demonstrate that artistic and scientific visual acuity
were part of the burgeoning empiricism of the fourteenth century, which
eventually yielded modern observational astronomy.
BIOLOGY
Woods Walk
Art, H. W. & M.T. Robbins
Storey Publications, North Adams, MA (2003)
Forty-Two Years of Succession Following Strip Clearcutting
in Northern Hardwoods Forest in Northwestern Massachusetts
Tabor D. Allison, Henry W. Art, Frank E. Cunningham and
Rebecca Teed ‘98
Forest Ecol. and
Management , 6250, 1-17
(2003
We investigated the effects of strip width, slope position,
and soil scarification in a split–split plot design on the regeneration of
northern hardwoods in northwestern Massachusetts. Whole plots of 20 and 40 m in
width were cut in 1954 in a second growth forest dominated by
Betula papyrifera. Slope position and
soil scarification were the split and split–split plot treatments,
respectively. We measured height for all tree species present in randomly
located 4 m2 plots beginning in 1955 and at irregular intervals over the
following 42-year period. We measured all trees in the cut strips in 1996.
Prunus pensylvanica was the dominant
species initially, but had nearly disappeared from the cut strips by 1996. Soil
scarification significantly increased initial establishment of
B. papyrifera, but density and basal
area of this species did not differ by soil treatment in 1996. Tree composition
in cut strips was weakly correlated with soil moisture, soil scarification, and
initial tree density immediately following cutting, but high spatial variation
in species composition and low replication made it difficult to detect any
significant correlations among the distribution and abundance of different
species and selected environmental variables. The canopy of the cut strips is
even-aged; establishment of most canopy trees occurred within 5 years following
cutting. A comparison of successional trends in adjacent uncut strips with the
trends in the cut strips indicates that cutting has altered the sequence of
successional changes in forest composition increasing the abundance of some
species that were of low importance prior to cutting. In 1996,
Acer rubrum and
A. saccharum are replacing
B. papyrifera in the canopy of the
uncut strips. The canopy of the cut strips consists of a diverse and spatially
varying mixture of intermediate hardwoods including
Quercus rubra,
Fraxinus americana,
Betula lenta,
Acer rubrum,
B. papyrifera, and an understory of
late successional hardwoods.
Infant Deaths in Developing Countries
Lois Banta, J. Beethan, D. Deaper, N. Hartwig, M. Klein,
G. Marquis
Life Science Ethics
(G. Comsock, ed.) 269-271 Iowa State Press (2002)
Considering Interactions: Incorporating Biotic Interactions
into Viability Assessment
Morales, M.A., D.W. Inouye, M.J. Leigh and G. Lowe
Population Viability in
Plants, (C.A. Brigham & M.W. Schwartz, eds.) 267-287 Berlin
Heidelberg (2003)
Diaphragm Contractile Dysfunction in MyoD Gene Inactivated
Mice
Staig, J.S., S.J. Swoap, Associate Professor of Biology,
S. Powers
Amer. J. Physiol,
283, R583-R590 (2002)
Influence of Altered Metabolic Pathways on Fiber-type
Specific Gene Expression in C2C12 Cells
Brigitte D. Teissedre ’03, Nora S. Au ’03,
Steven J. Swoap, Associate Professor of Biology
FASB Journal,
17(5), A437 (2003)
Torpor in Mice Is Regulated by Leptin and Melanocortin
Signaling
Steve J. Swoap, Associate Professor of Biology, Natalie A.
Stephens ’03, Maria K. Henry ’05
FASAB Journal,
17(5), A1261267 (2003)
Physiological Effects of Tricaine on the
Supramedullary/Dorsal Neurons of the Cunner, Tautogolarus adspersus
D.E. Arnolds ’04, S.J. Zottoli, Professor of
Biology, C.E. Adams ’03, S.M. Dineen ’04, S. Fevrier ’05, Y.
Guo ’05 and A.J. Pascal ’04
Biol. Bull.,
203, 188-189 (2002)
CHEMISTRY
The Robert F. Kennedy Science
Research Institute
Bonnie A. B. Blackwell, Joel I. B. Blickstein, Mimi N.
Divjak, and Anne R. Skinner, Senior Lecturer
J. Geol. Ed.,
51(1) (2003)
By performing multidisciplinary hands-on science research,
6-10 high school students each year develop their critical thinking, logical
reasoning, scientific writing and presentation skills. Supervised by Williams
College Electron Spin Resonance (ESR) Lab staff, students prepare teeth and
other fossils from archaeological and paleontological sites for ESR dating. They
are involved in the all aspects of the research, except those directly involving
radiation, from selecting and preparing the fossil samples for dating, to
running the Williams ESR spectrometer, and calculating ages. Mentored by the
scientists, students prepare detailed reports to publish in scientific journals
and present their data at scientific conferences, science fairs, and to science
classes in their home schools.
Vibrational Relaxation of
CH2I2
in Solution: Excitation Level Dependence
Christopher G. Elles, Dieter Bingemann, Assistant
Professor of Chemistry, Max M. Heckscher, and F. Fleming Crim
Journal of
Chemical Physics, 118, 5587
(2003)
Transient electronic absorption monitors the flow of
vibrational energy in methylene iodide
(CH2I2)
following excitation of five C-H stretch and stretch-bend modes ranging in
energy from 3000 cm-1 to 9000
cm-1. Intramolecular vibrational
relaxation (IVR) occurs through a mechanism that is predominantly state-specific
at the C-H stretch fundamental but closer to the statistical limit at higher
excitation levels. The IVR times depend on the excitation energy for the
fundamental and first C-H stretch overtone but are constant above the overtone.
The intermolecular energy transfer (IET) times depend only weakly on the initial
excitation level. Both the IVR and the IET times depend on the solvent
(CCl4,
CDCl3,
C6D6,
C6H6,
or
(CD3)2CO)
and its interaction strength, yet there is no energy level dependence of the
solvent influence.
Relaxation of the C-H Stretching Fundamental Vibrations of
CH3I,
CH2I2,
and CH3I in Solution
Max M. Heckscher, Leonid Sheps, Dieter Bingemann,
Assistant Professor of Chemistry, and F. Fleming Crim
Journal of
Chemical Physics, 117, 8917
(2002)
Transient electronic absorption spectroscopy monitors the
population of intermediate states in the vibrational relaxation of the
iodo-substituted methanes, CHI3,
CH2I2,
and CH3I, in solution after excitation
of the fundamental C-H stretching vibration. These experiments give times for
both intra- and intermolecular energy flow for each molecule. The trend in
intramolecular vibrational energy redistribution (IVR) times shows that the
local vibrational state structure around the initially prepared states in each
molecule, not the overall state density, controls IVR. Comparison of experiments
in the solvents chloroform and acetone reveals the solvent role in IVR and shows
a strong solvent effect on the intermolecular energy transfer (IET).
Synthesis and Characterization of Cobaloxime; An
Undergraduate Inorganic Experiment Investigating Models of Coenzyme
B12
Elizabeth A. Landis ’05, Steven T. Scroggins
’04, Mark H. Schofield, Assistant Professor of Chemistry, Lee Y. Park,
Associate Professor of Chemistry
The Chemical
Educator, (2003)
An upper level undergraduate inorganic chemistry experiment
in which students synthesize a series of octahedral cobalt (III) complexes of
the type Co(dmgH)2Br(L) and
Co(dmgH)2Me(L), where L can be a
variety of substituted pyridines or imidazoles is described. The electronic
structure of the series of complexes can be examined using
1H NMR spectroscopy and cyclic
voltammetry. Shifts in the 1H NMR
methyl resonance can be directly correlated with the electron donating ability
of the base and therefore the electron density at the metal center. Similarly,
cyclic voltammetric studies reveal a significant shift in the reduction
potentials, consistent with changes in the electron donating ability of the
axial base, while the oxidation potentials are largely unaffected by the
identity of the axial ligand.
On the Problem of the Exact Shape of Orbitals
Enrique Peacock-López, Professor of Chemistry
The Chemical
Educator, 8, 96-101 (2003)
To explain the inconsistency in the representation of the
dz2 orbital in many textbooks, we
considered the contour and polar representation of orbitals. Most introductory
textbooks use the polar representation in their discussions, but the
dz2 orbital seems to be most
misrepresented orbital. In particular it is represented with a
“lifesaver” middle section. We argue that this shape belongs to the
contour representation and is inconsistent with the polar representation.
Kinetics and Mechanism of Decomposition of Organonickel
Complexes and Determination of Nickel-Carbon Bond Dissociation Energies
Mark H. Schofield, Assistant Professor of Chemistry, and
Jack Halpern
Inorg. Chim.
Acta, 345, 353-358 (2003)
Methylcoenzyme M reductase (MCR), which contains a
square planar nickel corphin cofactor,
F430, catalyzes the
final step in methane biosynthesis in methanogenic
Archaea. Recent mechanistic proposals
for this enzyme suggest that the putative organonickel intermediates may react
via a free radical pathway. Benzylnickel complexes employing
1,4,8,11-tetramethyl-1,4,8,11-tetraazacyclotetradecane (tmc) have been prepared
and their homolytic Ni–C bond dissociation energies determined by kinetic
methods. The kinetics of decomposition of
Ni–CH2Ph(tmc)+
in acetonitrile, in the presence of excess
Ni(tmc)+, are consistent with
reversible homolysis of the nickel benzyl bond followed by a recombination of
benzyl radicals according to the rate law
–d[Ni–CH2Ph(tmc)+]/dt
=
kobs[Ni–CH2Ph(tmc)+]2,
where kobs =
2(k42k5)/(k–42)[Ni(tmc)+]2.
From the activation parameters (benzyl:
H‡obs
= 40.6 ± 0.6 kcal/mol,
S‡obs
= 61.8 ± 2.0 cal/mol•K;
p-fluorobenzyl:
H‡obs
= 38.4 ± 1.9 kcal/mol,
S‡obs
= 55.1 ± 6.5 cal/mol•K;
p-chlorobenzyl:
H‡obs
= 34.2 ± 5.8 kcal/mol,
S‡obs
= 39.5 ± 20.2 cal/mol•K) the following Ni–C bond
dissociation energies were deduced: benzyl, 19 ± 1 kcal/mol;
p-fluorobenzyl, 18 ± 2 kcal/mol;
p-chlorobenzyl, 16 ± 5
kcal/mol.
Dating the Naisiusiu Beds, Olduvai Gorge, by Electron Spin
Resonance
Anne R. Skinner, Senior Lecturer, R. L. Hay, F. Masao,
Bonnie A. B. Blackwell
Quaternary
Geochronology, 22, 1361-1366
(2003)
The Lower Beds at Olduvai Gorge are well known for containing
early hominid fossils and Oldowan stone tools, and their ages have been
established by
39Ar/40Ar
dating and paleomagnetic stratigraphy. Ages are generally less certain for the
upper deposits at Olduvai Gorge because of the scarcity of datable tuffs. The
youngest archaeologically significant site at Olduvai is microlithic LSA, which
lies in the type section of the Naisiusiu Beds. The age for the site is
controversial, with 14C dates of
17.000-17,550 (Hay, 1976) and >42,000 BP (Manega, 1993). The tuff bed in the
zone with artifacts does not contain materials datable by
39Ar/40Ar,
and some other dating method was needed. In the summer of 2001, five equid
teeth were collected from the type Naisiusiu site. Another tooth had previously
been collected. ESR ages have been determined for three teeth from the
archaeological level and their ages cluster around 62 ± 5 ka, assuming
linear uranium uptake. Another tooth from a level without artifacts and
believed to be significantly younger dated to 39 ± 5 ka, again assuming LU.
These dates are considerably older than previous estimates and suggest that the
East African MSA/LSA transition occurred very early.
New Clues to Limits on ESR Dating
Anne R. Skinner, Senior Lecturer, N. Dennis Chasteen,
Pierre Brassard, and Bonnie A. B. Blackwell
Proceedings of the
International Symposium on New Prospects in ESR Dosimetry and Dating
(2002)
Fossil teeth seem perfect chronometers for ESR dating. The
signal is very stable, and hydroxyapatite (HAP) is a sensitive dosimeter, giving
spectra with large and reproducible peaks. However, these assets are in part
offset by various technical problems, especially the open system uranium uptake
problem. Uranium appears to enter the enamel by simple diffusion from enamel
(or, in some cases, directly from the sediment). Advances in several areas are
reported here, but most emphasis in on new information about uptake. We have to
approximate uptake by one of several relatively simply models. Model ages are
most variable in older samples with larger internal dose effects, relative to
external doses.
Skinner et al.
(2001) reported that Q-band spectroscopy shows enamel fossilization is
accompanied by crystal structure breakdown. Unlike diagenesis, this does not
affect the signal intensity and the samples are still datable. However, then
the uptake mechanism varies with time. Initial uptake experiments into modern
dentine showed that uptake is rapid. However, some of this uranium is probably
lost as the collagen breaks down and leaches out of the tooth. New results show
differential uptake by modern and fossil dentine. There is also highly
suggestive evidence that the rate of diffusion increases with
age. Putting these conclusions together
will allow more confident dating of old fossil teeth.
Synthetic Studies toward Hennoxazole A. Use of a Selective
Bisoxazole Alkylation As the Key Fragment Coupling
Thomas E. Smith, Assistant Professor of Chemistry and
Emily P. Balskus ’02
Heterocycles,
57, 1219-1225 (2002)
A model system for side chain fragment coupling to the core
of hennoxazole A is investigated. Lateral metallation of a
C13-TBS-protected bisoxazole, using
lithium diethylamide, allows for selective and efficient alkylation at
C15.
Effects of Base, Electrophile, and Substrate on the
Selective Alkylation of Heteroaromatic Systems
Thomas E. Smith, Assistant Professor of Chemistry,
Michelle S. Mourad ’00, and Alan J. Velander ’02
Heterocycles,
57, 1211-1217 (2002)
Several heteroaromatic systems, including oxazoles,
pyrazoles, and thiophenes, are regioselectively alkylated using lithium
diethylamide. Effects of substrate, base, and electrophile on the selectivity
of this process are surveyed and interpreted.
COMPUTER SCIENCE
PolyTOIL: A Type-Safe Polymorphic Object-Oriented
Language
Kim B. Bruce, A. Fiech, A. Schuett, R. van Gent
TOPLAS,
25, 225-290 (2003)
PolyTOIL is a new statically-typed polymorphic
object-oriented programming language that is provably type-safe. By separating
the definitions of subtyping and inheritance, providing a name for the type of
self, and carefully defining the type-checking rules, we have obtained a
language that is very expressive while supporting modular type-checking of
classes. The matching relation on types, which is related to F-bounded
quantification, is used both in stating type-checking rules and expressing the
bounds on type parameters for polymorphism. The design of PolyTOIL is based on
a careful formal definition of type-checking rules and semantics. A proof of
type safety is obtained with the aid of a subject reduction theorem.
Sixth Workshop on Foundations of Object-Oriented
Programming
Kim B. Bruce and Didier Remy, Ed.
Information and
Computation, 175, 1-2.
(2002)
This issue contains papers selected from the sixth Workshop
on the Foundations of Object-Oriented Languages (FOOL), held in San Antonio,
Texas on January 23, 1999, in conjunction with the 26th ACM Symposium on
Principles of Programming Languages (POPL ’99). The workshop consisted of
one-invited lectures, and seven contributed papers selected by the program
committee. The four papers in this issue were selected from those presented at
the workshop.
Telecommunications Network Diagnosis
Andrea Danyluk, Associate Professor of Computer Science,
Foster J. Provost, NYU, Brian Carr, Verizon
Handbook of Data Mining
and Knowledge Discovery, W. Klosgen and J.M. Zytkow (eds.), Oxford
University Press 897-902 (2002)
The Scrubber 3 system monitors problems in the local loop of
the telephone network, making automated decisions on tens of millions of cases a
year, many of which lead to automated actions. Scrubber saves Bell Atlantic
millions of dollars annually, by reducing the number of inappropriate technician
dispatches. Scrubber’s core knowledge base, the trouble isolation module
(TIM) is a probability estimation tree constructed via several data mining
processes. TIM currently is deployed in the Delphi system, which serves
knowledge to multiple applications. As compared to previous approaches, TIM is
more general, more robust, and easier to update when the network or user
requirements chance. Under certain circumstances it also provides better
classifications. In fact, TIM’s knowledge is general enough that it now
serves a second deployed application. One of the most interesting aspects of
the construction of TIM is that data mining was used not only in the traditional
sense, namely, building a model from a warehouse of actual historical cases, but
it was also used to produce an understandable model of the knowledge contained
in an earlier, successful diagnostic system, which had evolved into opacity over
years of operation.
Run-Time Type Checking for Binary Programs
Mike Burrows, Stephen N. Freund, and Janet Wiener (class
of ’89).
- of
the International Conference on Compiler Construction, pages 90-105,
2003.
Many important software systems are written
in the C programming language. Unfortunately, the C language does not provide
strong safety guarantees, and many common programming mistakes introduce type
errors that are not caught by the compiler. These errors only manifest
themselves at run time through unexpected program behavior, and it is often hard
to isolate and identify their causes. This paper presents the Hobbes run-time
type checker for compiled C programs. Our tool interprets compiled binaries,
tracks type information for all memory and register locations, and reports
warnings when a variety of type errors occur. Because the Hobbes type checker
does not rely on source code, it is effective in many situations where similar
tools are not, such as when full source code is not available or when C source
is linked with program fragments written in assembly or other languages.
Containment Units: A Hierarchically Composable Architecture
for Adaptive Systems
Jamieson M. Cobleigh, Leon J. Osterweil, Alexander Wise,
and Barbara Staudt Lerner
Proceedings of the 10th
International Symposium on the Foundations of Software Engineering,
Charleston, South Carolina, November 2002.
A Comparison of Zoltan Dynamic Load Balancers for Adaptive
Computation
James D. Teresco, Assistant Professor of Computer Science,
and Lida P. Ungar ‘02
Proceedings of the VII
International Conference on Computational Plasticity, CD-ROM distributed
at COMPLAS ‘03, Barcelona, Spain, April 2003.
Dynamic load balancing is an essential tool for parallel
adaptive computation. It has been an important research topic for more than a
decade. The Zoltan library provides applications with a reusable,
object-oriented interface to several load balancing algorithms, including
coordinate bisection, octree/space filling curve methods, and multilevel graph
partitioners. It allows run-time selection among balancing techniques,
facilitating comparisons. It also provides a framework in which to modify
existing algorithms or to implement new algorithms. We compare the performance
of several available methods as mesh partitioners and as dynamic load balancers
for an adaptive computation. Partition quality metrics and running times of the
balancers and the solution process are measured for several methods. We also
examine the effect of octant granularity for the Zoltan octree partitioning
algorithm, and describe a modification of the recursive coordinate bisection
algorithm that bisects along only one coordinate axis, to achieve a
“slice” partitioning, designed to minimize interprocessor
adjacency.
GEOSCIENCES
Sedimentology, Stratigraphy and Geochronology of the
Proterozoic Mazatzal Group, Central Arizona
Rónadh Cox, Assistant Professor of Geosciences, et
al.
Geological Society of
America Bulletin, 114, 1535-1549
(2002)
Quartzite, conglomerate and shale of the Mazatzal Group
record filling of a Proterozoic intra-arc basin in central Arizona. U-Pb ages
of zircons from rhyolite ash flow tuff indicate that deposition began at 1701
± 2 Ma. Basal deposits of the newly defined Pine Creek Conglomerate formed
in an alluvial fan setting, synchronous with the final phase of extrusive
rhyolite volcanism and active faulting. After volcanic activity ceased,
shallower-slope braided-stream environments developed in early Deadman Quartzite
time. Subsequent marine transgression produced shallow subaqueous deposits of
the upper part of the Deadman Quartzite. These were overlain by pro-delta
sediments of the Maverick Shale, indicating a phase of basin deepening.
Finally, the Mazatzal Peak Quartzite was deposited as the basin shoaled again,
first to shallow marine and subsequently to fluvial conditions.
The quartzite is diagenetic quartz arenite, originally
deposited as lithic arenite and lithic arkose. The provenance was initially
restricted, and earliest sediment was derived mainly from the subjacent Red Rock
Group. When tectonic activity ceased, however, the surrounding highlands were
planed down by erosion and detritus from a wider variety of source rocks was
funneled into the basin. This included contributions from arc-related
supracrustal rocks of the Payson Ophiolite and East Verde River Formation, and
finally a granitic basement input. Detrital quartz in the lower part of the
Mazatzal Group is largely monocrystalline, and volcanic in origin.
Polycrystalline quartz, associated with detrital feldspar and of probable
continental affinity, is concentrated in the uppermost parts of the
sequence.
The life span of the intra-arc basin was on the order of 30
m.y., from the formation of the Payson Ophiolite at 1.73 Ga to the deposition of
the Mazatzal Peak Quartzite sometime after 1.70 Ga. The pre-Mazatzal Red Rock
Group represents the last stages of volcanic arc activity, and the Mazatzal
Group records the transition from orogenic to non-orogenic sedimentation in
central Arizona.
26Al and
10Be Dating of Late Pleistocene and
Holocene Fill Terraces: A Record of Fluvial Deposition and Incision, Colorado
Front Range
David P. Dethier, Professor of Geosciences, et al.
Earth Surface Processes
and Landforms, 27, 773-787
(2002)
Cosmogenic 26Al,
10Be, and
14C dating of fluvial fill terraces
in steep canyons of the Colorado Front Range provide a temporal framework for
analyzing episodic aggradation and incision. Results from Boulder Canyon show
that terrace heights above the modern channel (grade) can be divided into (1)
Bull Lake (> ~100 ka; 20 - 15 m above grade); (2) Pinedale (32-10 ka; 15
– 4 m above grade); and (3) Holocene age (<4 m above grade). No
pre-Bull Lake deposits are preserved along Boulder Canyon and only three small
remnants >15 m above grade record Bull Lake deposition. Well-preserved
terraces of Pinedale age suggest that the range of terrace height above grade
reflects short-term fluctuations in the river profile during periods of rapidly
changing stream load and power. Net river incision apparently occurred during
transitions to interglacial periods. Soil development and stratigraphic
position, along with limited cosmogenic and
14C dating, suggest that ~130 ka
terraces in Boulder Canyon correlate with the Louviers Alluvium, and that 32 to
10 ka fills in the Canyon correlate with the Broadway Alluvium on the adjacent
High Plains. Late Pleistocene incision rates (~0.15 m
ka-1) along Boulder Canyon exceed
pre-late Pleistocene incision rates, and are higher than middle to late
Pleistocene incision rates (~0.04 m
ka-1) on the High Plains. This study
provides an example of how modern geochronologic techniques allow us to
understand better rivers that drain glaciated catchments.
Modeling Sediment Flux from Birch Brook, an Undisturbed
Catchment in Northwestern Massachusetts
David P. Dethier, Professor of Geosciences, William B.
Ouimet ’01
Northeastern Geology
and Environmental Sciences, 24
(3), 176-184 (2002)
Discharge and annual bedload measurements from the 1.25
km2 South Branch of Birch Brook, NW
Massachusetts, show that the annual flux of bedload was 2.0 tons
km-2
yr-1 from this forested basin
between 1986 and 2000. Sediment transport by the South Branch is controlled by
discharge events above bankfull (0.34
m3
s-1) and the relative availability
of sediment in the stream channel, particularly material stored by organic
debris dams. Peak discharge events explain 91% of the variance in measured
sediment discharge on the South Branch during the period 1986 to 1996. After
1996, however, correlation is poor, reflecting a change in sediment availability
after sediment year 1996, when sediment flux was 5 times average values.
Analyzing the sediment budget for the Birch Brook catchment
permits us to speculate about how deforestation, grazing and cultivation in the
19th century affected hillslope
erosion and stream sediment load. Higher sediment loads during the past century
may have produced the low terraces that line the lower reaches of Birch Brook.
The present rate of sediment transport from the Birch Brook catchment suggests
that the erosion rate from forested catchments in NW Massachusetts is low.
Long-Term Erosion Rates Derived from
10Be in Sediment from Small
Catchments, Northern Front Range and Southern Wyoming
David P. Dethier, Professor of Geosciences, William B.
Ouimet ’01
Paul Bierman ’85, University of Vermont, Robert C.
Finkel, Lawrence Livermore National Laboratory
Geological Society of
America Abstracts with Programs, 34
(6), 409 (2002)
Rates of long-term erosion across the Rocky Mountain region
help to constrain the relative roles of tectonic uplift, climatic change and
rock resistance in sculpting the modern landscape. We measured concentrations
of cosmogenic nuclides in quartz extracted from stream sediment from 13
catchments to provide estimates of erosion rates at time scales from 103 to 105
yr. Preliminary analysis of 10Be
activity from small (< 50 km2),
upland catchments in Colorado and Wyoming indicates that the landscape is
lowering at rates between 14 and 250 m/MY in this semiarid area. We sampled
basins that: (1) have not been glaciated; (2) have only small volumes of
sediment stored beneath terraces and in colluvium; and (3) display minimal
evidence for anthropogenic disturbance. We measured the
10Be content of the 250 to 710 mm
sand fraction collected in cross-channel transects. Our initial data do not
show strong influence of basin relief, average slope, drainage area, tectonic
environment, or climate. However, the range of erosion rates from different
lithologies suggests that relative rock resistance exerts strong control on
landform evolution in the Rocky Mountain region. Catchments draining weathered
Precambrian basement (granites and gneisses) typical of the northern Front,
Laramie and Medicine Bow Ranges give erosion rates of 18 to 30 (24 ± 6;
n=9) m/MY. Weakly lithified Middle and Upper Cenozoic basin fill is eroding at
rates of 45 to 250 m/MY at sites in southern Wyoming and northern Colorado.
Precambrian quartzite exposed in the eastern Uinta Mountains gave a rate of 14
m/MY, the lowest we measured. Erosion rates measured in upland granitic and
gneissic catchments in Colorado are comparable to those measured in other
non-orogenic areas such as the southern Appalachians. If our initial
measurements for erosion rates of weakly lithified basin fill are typical, most
of the middle and late Cenozoic fill in the greater Wyoming area could have been
stripped in the past 5 to 10 million years.
Subglacial Environment Inferred from Bedrock-Coating
Siltskins, Mendenhall Glacier, Alaska
David P. Dethier, Professor of Geosciences, Carissa L.
Carter ’02, Robert Newton, Smith College
Eos Trans. AGU,
83 (47), Fall Meet. Suppl., Abstract
C62A-0921 (2002)
In the past two decades, retreat of the Mendenhall Glacier
near Juneau, Alaska, has exposed a bedrock ridge spotted with
“siltskins,” patchy coatings of calcite-cemented clay to sand-sized
lithic grains. Coatings range from 0.5 to 20 mm thick and occur in two distinct
morphologies. Striated siltskins are thin, located mainly on stoss faces, and
preserve local striation direction. Thicker, corrugated skins preserved on lee
faces consist of parallel microridges elongate downslope. Thin section analysis
shows that siltskins consist of a basal, calcite-rich layer overlain by
microlaminated layers of calcite-cemented lithic grains. Microstrata in layers
of corrugated siltskins display complex internal structures including wavy
microlaminae, truncated cross-bedding, convolute forms, and pockets of larger
grains. SEM/EDS analysis of siltskin laminae and surfaces show laterally
persistent Ca/Si differences. Isotopic values of
∆O18 and
∆C13 ranged from -19.52 to
-12.74 and -6.18 to -3.44, respectively in five samples of cement, consistent
with deposition from subglacial waters of varying isotopic concentrations and
with derivation of carbon from inorganic sources. Regelation processes probably
caused precipitation of the basal calcite layer from ice enriched in Ca. After
the basal layer reached a limiting thickness, deposition of microlaminae of the
upper layer dominated. The relatively thick corrugated siltskins we studied are
depositional features enhanced by erosional processes. Wavelengths of parallel
microridges generally range from 1 to 10 mm and apparently formed as
sediment-rich water dripped or oozed down lee slope rock faces. Ice-rock
separation, flow energy, and the amount and grain size of transported sediment
controlled the layering and depositional forms. Deposition of siltskins
depended on macro-scale processes in the glacier system, outcrop-scale features
of the rock ridge, and micro-scale interactions of the ice, bedrock, and thin
films of water in the regelation layer. Siltskins probably formed when a
subglacial cavity system was active on the rock ridge, probably within the last
60 years. Siltskins provide clues about how micro-scale hydrologic processes
interact with larger-scale subglacial systems.
Paleoislands in the Stream: Paleogeography and Expected
Circulation Patterns
Markes E. Johnson, Professor of Geosciences
Geobios,
35
(Mémoire spécial no. 24),
96-106 (2002)
Marine islands belong to discrete geographic realms attended
by persistent patterns of oceanic and atmospheric circulation. Wet and dry
vegetation zones on the opposite sides of Hawaii, for example, result from
northeasterly trade winds in an open-ocean setting. Distinct windward and
leeward shores are due to variations in wave exposure. The Channel Islands off
southern California meet northwesterly winds that push the California Current
and its associated upwelling along the west coast of North America. Other
islands within the Gulf of California are influenced by seasonal shifts in
winter and summer winds related to a semi-monsoonal pattern of atmospheric
circulation. Ancient islands preserved in the rock record as drowned monadnocks
provide a direct link to a comparable range of climatic and oceanographic
interactions through Phanerozoic time. Exemplary case studies, one each from
the Paleozoic, Mesozoic, and Cenozoic eras, are reviewed with respect to
geography, ecology, and climate. They include the Ordovician Jens Munk
Archipelago on Hudson Bay in Manitoba (Canada), the Cretaceous island group on
the Pacific shores of northern Baja California (Mexico), and the Pliocene Santa
Inés Archipelago from the Gulf of California in Baja California Sur
(Mexico). Key physical features shared in common include sedimentary ramps with
6º–12º slopes constructed on basal conglomerates that
incorporate debris from eroded basement rocks. Biological attributes shared in
common are contrasting biofacies indicative of distinct windward and leeward
environments.
Jens Munk Archipelago: Ordovician-Silurian Islands in the
Churchill Area of the Hudson Bay Lowlands, Northern Manitoba
Markes E. Johnson, Professor of Geosciences, Samuel J.
Nelson
Journal of
Geology, 110, 577-589
(2002)
The name Jens Munk Archipelago is proposed for a cluster of
small monadnocks that rise a maximum of 45 m above present sea level on the
shores of Hudson Bay in the Churchill area of northern Manitoba. Resistant
Precambrian quartzite formed shoals and islands during the Late Ordovician and
Early Silurian periods. Outcrop control in the present tundra environment of
the Hudson Bay Lowlands is spotty at best, but the quartzitic monadnocks are
fringed by Upper Ordovician and Lower Silurian ramp deposits, mainly carbonate
in composition. Five isolated outliers of Ordovician-Silurian strata are
described and the location of four other potential outliers is indicated. Ramp
dip at any one site generally ranges from 10º to 15º and the surviving
ramps on opposite flanks of paleoislands suggest preservation of near
synsedimentary conditions. Extensive conglomerates of reworked quartzite are
most abundant on a northern exposure within the islands. Ripple marks and
oriented cephalopod debris are related to a vigorous long-shore current
generated by northeasterly trade winds that emanated from a subtropical
high-pressure cell in the Northern Hemisphere. A paleogeographic reconstruction
links the Jens Munk Archipelago of Manitoba to a larger landmass with a
Precambrian quartzite core centered over northern Saskatchewan. The general
paleoecology of the Jens Munk Archipelago conforms to patterns of windward and
leeward facies preserved on other paleoislands of various ages.
Silurian Stratigraphy and Paleogeography of Baltica
Gudveig Baarli, Research Associate, Markes E. Johnson,
Professor of Geosciences, Anna I. Antoshkina
Silurian Lands and
Seas: Paleogeography Outside of Laurentia, Landing, E. and Johnson M.E.
(eds.) New York State Museum Bulletin,
493, 3-34 (2003)
The Silurian continent of Baltica was a small-to-medium sized
craton approximately 7.8 million km2
in size. Silurian outcrops cover one percent of the area of this former
continent, although the extent of subsurface Silurian strata is appreciable.
Stratigraphic patterns influenced by tectonic and eustatic cycles are documented
from 25 lithologic and bathymetric profiles drawn from four principal areas in
the Central Scandinavian, East Baltic, Dniester, and Timan–Pechora
depressions. Baltica was bounded on its west flank by the developing Scandian
orogen, which resulted from the closure of the Iapetus Ocean. On its southwest
flank, Baltica underwent a collision with the microcontinent of Avalonia. The
remaining continental margin was passive. Separate base maps for central
Scandinavia, the combined East Baltic region and Dniester River area of Podolia,
and the Timan–Pechora region of northwestern Russia allow reconstruction
of approximately 35% of Baltica and its shelf margins. Paleogeographic maps are
provided for Baltica through the Llandovery, Wenlock, and Ludlow series, but
exclude the youngest Pridoli Series due to insufficient or unavailable data.
Primary control of continental and marine sedimentation was exerted by tectonic
factors, but the secondary imprint of eustasy is preserved in the stratigraphic
record of Baltica’s mid-shelf sectors.
Pliocene Sedimentary Units and Tectonic Evolution at the
Santa Rosalia-Loreto Region, Gulf of California
J. Ledesma-Vázquez, Univ. Autonoma de Baja
California, Markes E. Johnson, Professor of Geosciences
Geologic Transects
Across Cordilleran Mexico, Guidebook,
Publicación Especial 1, 1-12
(2003)
This road log describes three stops on the Loreto to Santa
Rosalia transect [day 1] and five stops on the Santa Rosalia to Punta Chivato
transect [day two], all in Baja California Sur, Mexico. Pliocene relationships
are described at Arroyo Arce, the Bahia Concepción Basin at the base of
the Concepción Peninsula, El Requeson, Arroyo El Purgatorio, Punta
Cacarizo, Punta Cerotito, west flank of the Punta Chivato promontory, and Mesa
Las Barracas.
Acadian Extension around the Chester Dome, Vermont
Paul Karabinos, Professor of Geosciences
New England
Intercollegiate Geologic Conference and New York State Geological Association
Joint Meeting, C6-1 – C6-20 (2002)
A field trip guide to the Chester Dome, Vermont, area.
Extensional Tectonics of the Acadian Orogeny
Paul Karabinos, Professor of Geosciences, Matthew F.
Student ’01
Geological Society of
America, Penrose Conference, 50 (2002)
Tectonic models for the Devonian Acadian orogeny in the New
England Appalachians typically invoke two major periods of crustal shortening:
an early phase of recumbent folding followed by an upright doming event. In the
western part of the Acadian orogen, Devonian deformation overprinted the
Ordovician Taconic thrust belt. An alternative interpretation of the numerous
domes in the western part of the Acadian orogen is that they record large-scale
ductile extension. Evidence for extension includes dramatic tectonic thinning
of Paleozoic units and synmetamorphic exhumation of footwall rocks. The best
evidence for normal faulting is in the Chester dome in southeastern Vermont.
There stratigraphic separation diagrams clearly show that Cambrian and
Ordovician units have been excised by faulting; locally Middle Proterozoic
basement rocks are separated from Silurian units by less than 0.5 km! Acadian
extension occurred during garnet-grade metamorphism on low-angle, nearly planar
normal faults. Kinematic indicators reveal that hanging wall rocks were
displaced to the southwest. The Chester dome is defined by a folded mylonitic
foliation. During dome-stage folding, the mylonitic foliation and the
tops-to-the-southwest kinematic indicators, such as C-S fabrics and rotated
porphyroclasts, were complexly overprinted by simple shear into different
patterns on the east and west sides of the dome. Acadian extension was most
likely the result of gravitational collapse following surface uplift and thermal
weakening of the lower crust.
Acadian Transpression, Extrusion, and Gneiss Dome Formation
in the New England Appalachians
Paul Karabinos, Professor of Geosciences
Geological Society of
America, Abstracts with Programs:,
34, 99 (2002)
Two N-S trending sets of gneiss domes in New England dominate
the western Acadian belt. One belt is west of the Connecticut Valley trough
(CVT) and is cored by fragments of Laurentian basement and rocks of the Early
Ordovician Shelburne Falls arc (SFA). The other is west of the
Kearsarge-Central Maine trough (KCMT) and is cored by Late Proterozoic gneisses
and rocks of the Late Ordovician Bronson Hill arc (BHA). The CVT and KCMT
contain Silurian and Devonian metasediments that were rapidly deposited just
before collision between Laurentia and Avalon. Collision caused dramatic
shortening of the Silurian and Devonian basin deposits expressed as large-scale,
west-verging nappes, which were overprinted during the doming phase of the
Acadian orogeny. The domes are commonly elongated N-S and some preserve
evidence for shear zones between the quartzo-feldspathic gneisses in the cores
and the overlying metasediments. The western Acadian belt is narrow (~50 km) in
Conn., Mass., and southern Vt.-N.H., but widens considerably in northern
Vt.-N.H. and Maine.
Crustal shortening during collision between Laurentia and
Avalon appears to have been greatest in southwestern New England and to have
decreased northward. Middle to upper crustal rocks were extruded westward as
nappes from the CVT and KCMT over the SFA and BHA, respectively. In contrast,
more rigid lower crustal blocks, including rocks of the SFA, BHA, and fragments
of Laurentian basement, were extruded northward relative to Laurentia. Early
crustal thickening by nappe formation may have made extrusion of rigid blocks
more energetically favorable than horizontal shortening in the lower crust.
During northward extrusion the quartzo-feldspathic blocks moved upward relative
to the overlying metasediments producing extensional shear zones with NNE-SSW
displacement. Ongoing E-W compression lead to N-S elongation and steep dips on
the E and W limbs of the domes. Extrusion also produced differential uplift
recorded by large and abrupt E-W variations in P conditions of Acadian
metamorphism.
Taconic Versus Middle Proterozoic Anatexis and Deformation
in the Berkshire Massif, Western New England
Paul Karabinos, Professor of Geosciences, David J. Morris
’03
Geological Society of
America, Abstracts with Programs,
34, 34 (2003)
Middle Proterozoic rocks of the Laurentian margin were thrust
westward over Cambrian and Ordovician continental shelf deposits during the
Taconic orogeny in the Berkshire massif. Dating this deformation would
constrain the time of collision between Laurentia and the Ordovician Taconic arc
and help discriminate between competing models for the orogeny. Discontinuous
tabular bodies of alaskite were mapped by Ratcliffe (1984a,b; 1985) within the
Berkshire massif and interpreted by him as syntectonic anatectic melts that
intruded Taconic thrusts. The alaskite sills are most commonly found in the
granitic Middle Proterozoic Tyringham Gneiss and many of the mapped Taconic
thrusts within the massif closely follow the distribution of the alaskite
bodies. We collected one sample of the Tyringham Gneiss and fourteen samples
of alaskite, ranging in composition from granite to trondhjemite, for SHRIMP
analysis to date the age of thrusting in the Berkshire massif. Zircons from the
Tyringham gneiss contain cores with oscillatory zoning and thin homogeneous
rims. The weighted average of eight
238U/206Pb
analyses from the cores is 1179 + 9 Ma, while nine
238U/206Pb
spot analyses from the rims yield an age of 1004 + 9 Ma; we interpret these to
represent the crystallization age of the Tyringham Gneiss protolith and
subsequent high grade metamorphism, respectively. Zircons from two samples of
alaskite commonly contain xenocrystic cores that yield a wide range of ages from
approximately 1050 to 1200 Ma surrounded by broad rims that commonly display
oscillatory zoning. Many grains also show oscillatory zoning with no cores.
The weighted average of sixteen
238U/206Pb
analyses from grains without cores and rims of grains with cores in one alaskite
sample is 997 + 5 Ma, and the weighted average of eight analyses from the second
sample is 1004 + 19 Ma. We suggest that the alaskite bodies formed during the
Ottawan phase of the Grenville orogeny and that they have no connection to the
Taconic orogeny. The basal contact between Middle Proterozoic rocks of the
Berkshire massif and underlying Early Paleozoic rocks is clearly a thrust, but
many contacts within the Berkshire massif mapped as Taconic thrusts must either
be Middle Proterozoic faults or, more likely, intrusive contacts between older
basement gneisses and younger anatectic melts.
Stable Isotope Vital Effects in Coccolith Calcite
Heather M. Stoll, Assistant Professor, et al.
Earth and Planetary
Science Letters, 210, 137-149
(2003)
Uncertainties about the origin of the many disequilibrium or
“vital effects” in a variety of calcifying organisms, and whether
these effects are constant or variable, has hampered paleoceanographic
application of carbon and oxygen isotopic ratios. Unraveling the source of these
effects will improve paleoceanographic applications and may provide new
information on changes in cell physiology and ecology. Culture of eight species
of coccolithophorids, a dominant marine phytoplankton group, reveals a 5‰
array of disequilbrium or “vital effects” in both the carbon and
oxygen isotopic composition of coccolith calcite. In moderate light and
nutrient-replete cultures, oxygen isotopic fractionation
(e18O) and carbon isotopic
fractionation (e13C) correlates
directly with cell division rates and correlates inversely with cell size across
a range of species. However, when growth rates of a single species are
increased or decreased by higher or lower light levels,
e18O is relatively invariant.
Likewise, growth rate variations as a function of temperature do not influence
coccolith e18O; the slope of the
e18O vs. temperature relation in
cultures of both Gephyrocapsa oceanica
and Helicosphaera carteri is the same
as for abiogenic carbonates. These suggest a constant, species-specific
isotopic fractionation, which does not vary with cell physiology. The constancy
of vital effects suggests that coccolith stable isotopes will provide reliable
phase for paleoceanographic reconstruction of temperature and seawater
chemistry, as long monospecific fractions are analyzed or changes in nannofossil
assemblages are accounted for with species-specific correction factors. We
suspect that the cell size, and its constraints on the rate of
CO2 diffusion relative to C fixation,
may be the first order influence on coccolith stable isotope vital effects. A
quantitative model of this process may provide important constraints on
mechanisms of carbon acquisition of coccolithophorids in both modern and extinct
species.
Coccolith Sr/Ca Records of Productivity During the
Paleocene-Eocene Thermal Maximum from the Weddell Sea
Heather M. Stoll, Assistant Professor of Geosciences, S.
Bains, Univ. of Oxford
Paleoceanography, 18, (2) (2003)
A major perturbation of the global carbon cycle ~55 million
years ago, believed to result from release of 1000-2000 Gt of C from methane
hydrates, correlates with an intense but transient greenhouse warming event
known as the Paleocene Eocene Thermal Maximum (PETM). The rapid
(105 yr) recovery of global
temperatures reflects important negative feedbacks in the climate system and
carbon cycle. Enhanced marine productivity may be one important feedback, but
indicators for productivity changes have yielded conflicting results. Here we
use a new independent indicator, Sr/Ca in coccolith carbonate which covaries
with the productivity of coccolithophorid algae, to investigate the biotic
response in the most complete PETM deep sea record which was recovered at ODP
Site 690B in the Weddell Sea. In the dominant coccolithophorid genus
Toweius, a large (40%) Sr/Ca increase
immediately after the gas hydrate release signals a dramatic productivity
increase. Productivity levels remain high for 60,000 years but decrease to
pre-event levels by 120,000 years after the gas hydrate release. Productivity
levels during the PETM are higher than observed at any other time in our
-400,000 year record. Other coccolithophorid genera
Chiasmolithus and
Discoaster show a brief, modest (25%
Sr/Ca increase) increase in productivity that lags behind the methane event by
50,000 years and is within the range of productivity variation elsewhere in the
record. The timing of the Toweius
productivity increase agrees well with Os isotope records of increased
weathering intensity, which may have provided higher nutrient fluxes to
stimulate algal productivity. If this type of productivity response occurred
globally, it would also be consistent with the timing of C drawdown that may
have returned temperatures to near pre-event levels.
Coccolith Sr/Ca Records of Productivity During the
Paleocene-Eocene Thermal Maximum
Heather M. Stoll, Assistant Professor of Geosciences, A.
L. Arevalos ’05
D. Grocke, Royal Holloway Univ. of London, S. Bains,
Univ. of Oxford
Geophysical Research
Abstracts, 5 (2003)
The intense but transient greenhouse warming event known as
the Paleocene Eocene Thermal Maximum (PETM) is linked with a major perturbation
of the global carbon cycle, believed to result from release of 1000-2000 Gt of C
from methane hydrates. Questions remain about the initial timing of warming and
methane release and the nature of negative feedbacks in the carbon cycle which
aided the rapid recovery of the climate system. Using Sr/Ca in coccolith
carbonate, a new indicator of the productivity of coccolithophorid algae, we
examine whether enhanced marine productivity may have been an important feedback
in carbon cycle recovery. Recent advances in separating restricted fractions of
coccoliths allow us to obtain species-specific Sr/Ca records across the PETM in
sediments from ODP site 690 in the Weddell Sea and ODP 1209 at Shatsky Rise in
the Pacific. At site 690, in the dominant coccolithophorid genus
Toweius, a large (40%) Sr/Ca increase
immediately after the carbon isotope excursion signals a dramatic productivity
increase. Productivity levels remain high for 60,000 years but decrease to
pre-event levels within 120,000 years. Productivity levels during the PETM are
higher than observed at any other time in our -400,000 year record. Other
coccolithophorid genera Chiasmolithus
and Discoaster show a brief, modest
(25% Sr/Ca increase) increase in productivity that lags behind the methane event
by 50,000 years and is within the range of productivity variation elsewhere in
the record. The timing of the Toweius
productivity increase in Site 690 agrees well with Os isotope records of
increased weathering intensity, which may have provided higher nutrient fluxes
to stimulate algal productivity. If this type of productivity response occurred
globally, it would also be consistent with the timing of C drawdown that may
have returned temperatures to near pre-event levels. Results from ODP 1209 are
pending.
Details of the relative timing of PETM warming and methane
release are inferred from stable isotope records, but the onset of stable
isotope shifts differ between coccolith-dominated bulk carbonate and
single-specimen planktonic foraminiferal records. Using stable isotope analyses
on separated Toweius fractions, we will
be able to confirm or refute whether these discrepancies are due to changing
coccolith assemblages and vital effects in the bulk records.
Controls over the Chemistry of Coccolith Calcite
Heather M. Stoll, Assistant Professor, P. Ziveri, Vrije
Universitet, de Boelelaan
Geochim. Et Cosmochim.
Acta, 66 (1), 719 (2003)
Nonequilibrium or “vital effects” on isotopic or
elemental partitioning in biogenic carbonates have recently evolved from enemies
to allies in a number of paleoceanographic applications. This transition has
been especially pronounced in the chemistry of coccoliths, tiny calcite plates
produced intracellularly by marine coccolithophorid algae. Recent culture
experiments with a number of species have assessed the extent to which their
chemistry is controlled by chemical kinetic versus biological factors.
Sr/Ca ratios of coccoliths show strong kinetic effects with
coccolithophorid growth and calcification rates [1,2]. These trends are observed
for different growth rates of a single species as well as among different
species. A similar kinetic effect of Sr partitioning on crystal growth rates
has been observed in abiogenic calcites and is hypothesized to reflect surface
enrichment effects [3]. Models of crystal growth in coccoliths suggest that
surface enrichment effects can explain some of the Sr/Ca variation observed in
culture. Higher amplitude Sr/Ca variations observed in surface sediments
require an additional mechanism, likely related to the kinetics of ion transport
into and within the cell.
Stable isotope fractionation in coccoliths varies widely
among different species. e18O is
highly correlated to the different maximum growth rates of different species
under light saturated and nutrient replete conditions [4]. Unlike the case for
Sr/Ca, e18O is nearly constant over
a range of growth rates for a single species and e18O is not correlated with
different rates of calcite precipitation in different species. Consequently,
similar mechanisms related to the kinetics of calcite precipitation cannot be
applied for both elemental and isotopic effects.
e18O covaries with
e13C, with a break point to constant
e13C but variable
e18O at the lowest ratios. These
patterns of covariation are tantalizingly similar to those observed in deep sea
corals [5]. However, the mechanism of calcification rate-dependent supply of
CO2 vs. “leak” of seawater
HCO3- into the calcifying region
proposed for corals [5] cannot be applied to intracellular calcification of
coccolithophorids. The mechanism of stable isotopic effects in coccoliths
remains a mystery, albeit a more clearly delineated one.
Silurian U-PB Zircon Dates from the Vinalhaven Intrusion and
Associated Volcanic Rocks, Penobscot Bay, Maine
R. A. Wobus, Professor of Geosciences
D. P. Hawkins,
Denison Univ., R. A. Wiebe, Franklin & Marshall College
GSA Abstracts with
Programs, 34 (6), 42 (2002)
The coastal Maine Magmatic Province exposes volcanic rocks
that erupted onto and plutonic rocks that intruded into Avalonian crust prior to
Acadian accretion. Correlation of the volcanic rocks within the province is
problematic, hindering the development of robust tectonic models for this
portion of Avalon. We present U-Pb dates from a key volcanic sequence exposed
on and around Vinalhaven Island in Penobscot Bay that clarify regional
correlation of volcanic units.
The volcanic sequence in the Vinalhaven area is interbedded
with fossiliferous sedimentary rocks interpreted as Late Silurian to Early
Devonian in age. However, these rocks are intruded by the Vinalhaven pluton
which yields a U-Pb zircon date of 420.3 ± 0.5 Ludlovian age that is not
consistent with ages interpreted from the fossiliferous units; specifically the
Ames Knob Formation and the Seal Cove Formation. The Ames Knob Formation
contains a diverse faunal assemblage interpreted as Wenlockian to Lockhovian
(Berry & Boucot, 1970; Gates, 2001), whereas the stratigraphically higher
Seal Cove Formation contains poorly preserved ostracodes interpreted to be
Lockhovian (Brookins et al., 1974).
To investigate this temporal discrepancy, we determined U-Pb
zircon dates from silicic volcanic rocks from Vinalhaven that stratigraphically
bracket the fossiliferous units. A lithic-poor vitrophyre collected near the
base of the section in the Polly Cove Formation (correlative to the Ames Knob
Formation) yields a preliminary U-Pb zircon date of 425.8 ± 0.9. A
lithic-poor welded tuff from the Vinalhaven rhyolite (stratigraphically higher
than the Seal Cove Formation) yields a preliminary U-Pb zircon date of 420.2
± 2.5. These dates are consistent with both the local field relationships
and with published U-Pb ages of the Cadillac Mountain granite and the Cranberry
Island volcanic series exposed on and around Mt. Desert Island, Maine (Seaman et
al., 1995). Our initial results indicate that the Vinalhaven/North Haven
layered sequence - from the basal Ames Knob Formation to the upper Vinalhaven
rhyolite - was deposited/erupted (and folded) prior to ca. 420 Ma. These rocks
and the fossils they contain are Silurian. If reevaluation of the fossil
assemblages does not resolve the age discrepancy, then perhaps the Silurian time
scale requires further calibration.
Implications of Silurian U-Pb Ages of Stratified Rocks on
Vinalhaven and North Haven Islands, Penobscot Bay, Maine
R.A. Wobus, Professor of Geosciences
C. L. Dektor,
Denison Univ., D. P. Hawkins, Denison Univ., R. A. Wiebe, Franklin &
Marshall College
GSA Abstracts with
Programs, 35 (3), 94 (2003)
Volcanic rocks intruded by the Vinalhaven pluton are
interbedded with the fossiliferous strata of the Ames Knob Formation and the
Seal Cove Formation. The Ames Knob Formation contains a diverse faunal
assemblage interpreted as Wenlockian to Lockhovian in age (Berry & Boucot,
1070; Gates, 2001), whereas the stratigraphically higher Seal Cove Formation
contains poorly preserved ostracodes, corals and brachiopods interpreted to be
Lockhovian in age (Brookins et al., 1974). However, a new U-Pb age for the
Vinalhaven pluton (420.3 ± 0.5 Ma) apparently conflicts with the
interpreted fossil ages. This apparent conflict is important to resolve because
the fossil age of the Ames Knob Formation has been used to correlate volcanic
units throughout the Coastal Volcanic Belt (CVB) of Maine and New
Brunswick.
To investigate this temporal discrepancy, we determined U-Pb
zircon ages for silicic volcanic units that stratigraphically bracket the Ames
Knob Formation and the overlying Seal Cove Formation. The oldest silicic
volcanic rock in the sequence occurs in the Polly Cove Formation, which is
correlative with the Ames Knob Formation (Gates 2001). This lithic-poor welded
tuff yields a U-Pb zircon date of 426 ± 1 Ma, indicating the Ames Knob
fossil assemblages are of Wenlockian age. A lithic-poor welded tuff from the
Vinalhaven rhyolite (stratigraphically higher than the Seal Cove Formation)
yielded zircon crystals with complex growth histories, and our initial attempts
to date the rock have produced a preliminary magmatic age. The zircon crystals
appear to be binary mixtures of two growth domains: early Cambrian (ca. 540 Ma)
cores and 420 ± 2 Ma magmatic mantles. The age of both the Ames Knob
Formation and the Seal Cove Formation are no younger than the Pridolian.
We suggest three first-order implications. First, the range
of the brachiopod genus Quadrifarius, described from a number of localities in
the CVB (Berry & Boucot 1970), should be extended to Ludlovian time.
Second, the strata on Vinalhaven are contemporaneous with the Cranberry Island
volcanic series exposed on and around Mt. Desert Island, Maine (Seaman et al.,
1995) and the Eastport volcanics (Gates & Moench, 1981). Finally because
the volcanic strata were folded prior to intrusion of the pluton, the timing of
deformation in this area is tightly constrained to about 420 Ma.
MATHEMATICS
Cusp Densities of Hyperbolic 3-Manifolds
Colin C. Adams, Mark Hopkins Professor of Mathematics
Proceedings of the
Edinburgh Mathematics Society,
45, 277-284 (2002)
The cusp density of a hyperbolic 3-manifold is the ratio of
the largest possible volume in a set of cusps with disjoint interiors to the
volume in the manifold. It is known that all cusp densities fall in the interval
[0, .853...]. It is shown that the cusp densities of finite volume orientable
hyperbolic 3-manifolds are dense in this interval.
An Introduction to the Supercrossing Index of Knots and the
Crossing Map
Colin C. Adams, Mark Hopkins Professor of Mathematics
C. Lefever, J. Othmer, S. Pahk, A. Stier, and J. Tripp
Journal of Knot Theory
and Its Ramifications, 11, No. 3,
445-459 (2002)
This paper is an introduction to supercrossing index for
knots and links, which is related to crossing index in the same way that N.
Kuiper's superbridge index is related to bridge index. A variety of results on
supercrossing index and the associated crossing map are given.
La Forma dell' Universo: Dieci Possibilita
Colin C. Adams, Mark Hopkins Professor of Mathematics, J.
Shapiro
Le Scienze,
73-82 (2003)
An Italian translation of "The Shape of the Universe: Ten
Possibilities", which appeared in American Scientist in 2001.
How to Ace Calculus: The Streetwise Guide
Colin C. Adams, Mark Hopkins Professor of Mathematics, J.
Hass and A. Thompson
Chinese Translation (2003), World of Science
Publishing
A Chinese version of this humorous supplement to
calculus.
Dr. Yeckel and Mr. Hyde
Colin C. Adams, Mark Hopkins Professor of Mathematics
Mathematical
Intelligencer, 24, No. 3, 15-16
(2002)
How mathematics can take over someone's life and turn them
into a creature unlike anything seen before.
The Red Badge of Courage
Colin C. Adams, Mark Hopkins Professor of Mathematics
Mathematical
Intelligencer, 24, No. 4, 12-13
(2002)
The battle lines are drawn. It is the students against the
professors as they confront the final exam and fight for their lives.
A Difficult Delivery
Colin C. Adams, Mark Hopkins Professor of Mathematics
Mathematical
Intelligencer, 25, No. 1, 8-9
(2003)
How the birth of a new theorem parallels human birth.
Wiling Away the Hours
Colin C. Adams, Mark Hopkins Professor of Mathematics
Mathematical
Intelligencer, 25, No. 2, 18-19
(2003)
How did Andrew Wiles come up with his proof of Fermat's Last
Theorem? Just what was he doing in the attic all those years.
Diophantine Inequalities and Irrationality Measures for
Certain Transcendental Numbers
Edward B. Burger, Professor of Mathematics
The Indian Journal of
Pure and Applied Mathematics, 32
1591-1599 (2001)
Here we construct
U-numbers having pre-subscribed
diophantine structure for which effective measures of irrationality are
computed.
“Math Forum”—I Couldn't Keep My Distance:
A Mathematical Seduction
Edward B. Burger (as Drew Aderburg), Professor of
Mathematics
The Mathematical
Association of America Math Horizons, 12-15 (February 2002)
Here in a humor style, we give an introduction to
p-adic numbers and construct infinite
series that possess incredible convergence properties.
“On a Quantitative Refinement of the Lagrange
Spectrum
Edward B. Burger, Professor of Mathematics
Amanda
Folsom, Alexander Pekker, Rungporn Roengpitya '01, Julia Snyder '02
Acta
Arithmetica, 102, 55-82
(2002)
Here we answer a question posed by Davenport in 1947
regarding diophantine inequalities exhibiting only finitely many solutions. As
a consequence of the results introduced here, a quantitative version of the
classical Lagrange spectrum is found.
A Space of Cyclohedra
Satyan Devadoss, Assistant Professor of Mathematics
The Journal of Discrete
and Computational Geometry, 29,
61-75 (2003)
We create a moduli space tiled by cyclohedra, analogous to
the Deligne-Mumford space of real stable curves of genus zero. We explore the
structure of this space, coming from blow-ups of hyperplane arrangements, as
well as discuss possibilities of its role in knot theory and mathematical
physics.
Do Purported Over-the-Counter Memory Enhancing Agents
Improve Memory: A Double-Blind, Placebo-Controlled Trial of Ginkgo Biloba
Richard D. De Veaux, Professor of Mathematics, Paul R.
Solomon, Professor of Psychology
Felicity Adams '93, Amanda Silver '96, Jill Zimmer
'96
Journal of the American
Medical Association, No. 1 (2002)
Data Mining: A View from Down in the Pit
Richard D. De Veaux, Professor of Mathematics
Stats Magazine,
34, 3-9 (2002)
A personal perspective on data mining.
Comments on Data Mining et Statistiques by Besse, LeGall,
Rimbaud et Sarpy
Richard D. De Veaux, Professor of Mathematics
Journal de la Societe
Francaise de Statistique, 142, 1,
19-20 (2001)
Discussion of the scope of Data Mining and how it differs
from Statistics.
Curriculum Guidelines for Bachelor of Arts Degrees in
Statistical Science
Richard D. De Veaux, Professor of Mathematics, C. Acuna,
T. Tharpey, G. Cobb
Journal of Statistical
Education, 10, 2 (2002)
Results from the NSF workshop on curriculum for a major in
Statistics.
Ginkgo for Memory Enhancement A Randomized Controlled
Trial
Richard D. De Veaux, Professor of Mathematics, Paul R.
Solomon, Professor of Psychology
Felicity Adams '93, Amanda Silver '96, Jill Zimmer
'96
Journal of the American
Medical Association, 288, 835-840
(2002)
A paper showing no memory improvement for healthy
participants taking recommended doses of Ginkgo Biloba.
The Safety and Efficacy of Galantamine in Patients with
Dementia with Lewy Bodies: An Interim Analysis
Stewart Johnson, Professor of Mathematics, K. Edwards, L.
Hershey, D. Lichter, E. Bednarczyk
Annual Meeting of the
American College of Neuropsychiatrists (2003)
Poster session at the 2003 annual meeting of the American
College of Neuropsychiatrists.
On the Completeness of Factor Rings
Susan Loepp, Associate Professor of Mathematics
Proc. Amer. Math. Soc.,
130, 2189-2195 (2002)
It was previously unknown whether or not there existed an
integral domain A such that A/I is complete for all nonzero ideals I, but the
dimension of the generic formal fiber of A is not zero. In this paper, we
construct such integral domains that are not only excellent, but we also show
that the generic formal fiber of A can be forced to be local and conclude that
the dimension of the generic formal fiber can be controlled.
Some Results on Tight Closure and Completion
Susan Loepp, Associate Professor of Mathematics, C.
Rotthaus
Journal of Algebra,
246, 859-880 (2001)
In this paper, we construct examples of nonexcellent local
domains for which tight closure and completion do not commute. In addition, we
construct an example of a complete local normal Gorenstein domain which is not
F-regular but is the completion of an F-regular local ring.
Area-Minimizing Surfaces in Cones
Frank Morgan, Dennis Meenan ('54) Centennial Professor of
Mathematics
Comm. Anal. Geom.,
10, 971-983 (2002)
We show that a k-dimensional area-minimizing surface can pass
through an acute conical singularity if and only if k 3. The larger k,
the more acute the conical singularity can be.
Instabilities of Cylindrical Bubble Clusters
Frank Morgan, Dennis Meenan ('54) Centennial Professor of
Mathematics, Kenneth A. Brakke
Eur. Phys. J.E,
9, 453-460 (2002)
We use the second variation formula to compute instabilities
for certain cylindrical bubble clusters and compare to earlier simulations,
experiments, and computations of Cox, Weaire, and Fortes.
Power Weak Mixing Does Not Imply Multiple Recurrence in
Infinite Measure and Other Counterexamples
Cesar E. Silva, Professor of Mathematics, Kate Gruher,
Fred Hines, Deepam Patel, Robert Waelder
New York Journal of
Mathematics, 9, 1-22 (2003)
We
show that for infinite measure-preserving transformations, power weak mixing
does not imply multiple recurrence. We also show that the infinite
measure-preserving Chacon transformation known to have infinite ergodic index is
not power weakly mixing, and is 3-recurrent but not multiply recurrent. We also
construct some doubly ergodic infinite measure-preserving transformations that
are not of positive type but have conservative Cartesian square. Finally, we
study the power double ergodicity property.
Sharp Estimate for the Weighted Hilbert Transform via
Bellman Functions
Janine Wittwer, Assistant Professor of Mathematics, S.
Petermichl
Michigan Mathematics
Journal, 50, No. 1, 71-88
(2002)
In this paper, we find the best possible upper bound of the
Hilbert transform (an operator important in harmonic analysis and the theory of
differential equations), as an operator in weighted
L2 space on the disk.
A Sharp Estimate on the Norm of the Continuous Square
Function
Janine Wittwer, Assistant Professor of Mathematics
Proceedings of the AMS,
130, 2335-2342 (2002)
In this paper, we show that the continuous square function
has a nice bound in weighted L2
space.
PHYSICS
Single-Strand Stacking Free Energy from DNA Beacon
Kinetics
Daniel P. Aalberts, John M. Parman ’02, and Noel L.
Goddard
Biophysical
Journal, 84, 3212-3217
[2003]
DNA beacons are short single-stranded chains which can form
closed hairpin shapes through complementary base pairing at their ends.
Contrary to the common polymer theory assumption that only their loop length
matters, experiments show that their closing kinetics depend on the loop
composition. We have modeled the closing kinetics and in so doing have obtained
stacking enthalpies and entropies for single-stranded nucleic acids. The
resulting change of persistence length with temperature effects the dynamics.
With a Monte Carlo study we answer another polymer question, how the closing
time scales with chain length, finding ~
N2.44±0.02.
There is a significant crossover for shorter chains, bringing the effective
exponent into good agreement with experiment.
Higher-order Coulomb Correlation Effects in
Semiconductors
S.R. Bolton
Invited chapter in the
book Quantum Coherence, Correlation, and
Decoherence in Semiconductor Nanostructures, T. Takagahara (Editor).
Elsevier Science (USA), pp. 166-206 [2003]
Optically excited semiconductors provide an ideal model
system for the study of many body interactions. Recent breakthroughs in theory
and experiment have revealed unique signatures of individual Coulomb-correlated
many-body interactions, up to the six-particle level. Experiments are performed
using ultrafast spectroscopy, so that the Coulomb-correlated quasi-particles can
be measured on time scales short compared with their dephasing times. The
simultaneous progress in theory and experiment in this field has resulted in a
burst of collaborative activity, yielding detailed understanding of the
influence of each many-body term. In this work we present the new experimental
and theoretical techniques which have allowed such rapid progress. We also
summarize the results which have been achieved thus far, and present the
outstanding questions which are the subject of current study.
Ultracold Ground-State Molecule Production in Sodium
Kevin Jones and others
Physical Review
A, 66, 053401 [2002]
We have observed the formation of ground-state
Na2 molecules via the spontaneous
decay of excited molecules created by the photoassociation of ultracold atoms.
We measure the binding energies created in three hyperfine components of the
lowest singlet and triplet potentials of
Na2 by two different methods. Two of
the features are purely triplet a
3∑u+
(=15) (quasibound) states that have not been previously observed, while
the third is a mixed X
1∑g+
—
3∑u+
state. The molecules are detected with high-resolution cw laser ionization
techniques and binding energies are measured to within 10 MHz.
Measurement of the Stark Shift within the
6P1/2 —
7S1/2 378-nm Transition in Atomic
Thallium
S.C. Doret ’02, P.D. Friedberg ’01, A.J. Speck
’00, D.S. Richardson, and P.K. Majumder
Physical Review
A, 66, 052504 [2002]
Using a thallium atomic beam apparatus and a stabilized,
frequency-doubled diode laser system, we have measured the scalar Stark shift in
the 6P1/2 —
7S1/2 transition of thallium. We
determine the Stark shift to be
∆s = -103.23(39) kHz /
(kV/cm)2 providing more than an
order of magnitude improvement in precision over earlier measurements of this
quantity. This measurement serves as a stringent new test of recently published
thallium parity nonconservation calculations.
Entangled Chains
William K. Wootters, Professor of Physics
Quantum Computation and
Information, S.J. Lomonaco and H.E. Brandt, editors (American
Mathematical Society, Providence pp. 299-310 [2002]
Consider an infinite collection of qubits arranged in a line,
such that every pair of nearest neighbors is entangled: an “entangled
chain.” In this paper we consider entangled chains with translational
invariance and ask how large one can make the nearest neighbor entanglement. We
find that it is possible to achieve an entanglement of formation equal to 0.285
ebits between each pair of nearest neighbors, and that this is the best one can
do under certain assumptions about the state of the chain.
Almost Every Pure State of Three Qubits is Completely
Determined by Its Two-Particle Reduced Density Matrices
Noah Linden, Sandu Popescu, and William K. Wootters,
Professor of Physics
Phys. Rev. Lett.
89, 207901 [2002]
In a system of n
quantum particles, we define a measure of the degree of irreducible
n-way correlation, by which we mean the
correlation that cannot be accounted for by looking at the states of
n-1 particles. In the case of almost
all pure states of three qubits, we show that there is no such correlation:
almost every pure state of three qubits is completely determined by its
two-particle reduced density matrices.
The Parts Determine the Whole in a Generic Pure Quantum
State
Noah Linden and William K. Wootters, Professor of
Physics
Phys. Rev. Lett.
89, 277906 [2002]
We show that almost every pure state of multiparty quantum
systems (each of whose local Hilbert space has the same dimension) is completely
determined by the state’s reduced density matrices of a fraction of the
parties; this fraction is less than about two-thirds of the parties for state of
large numbers of parties. In other words, once the reduced states of this
fraction of the parties have been specified, there is no further freedom in the
state.
Parallel Transport in an Entangled Ring
William K. Wootters, Professor of Physics
J. Math. Phys.
43, 4307-4325 [2002]
This article defines a notion of a parallel transport in a
lattice of quantum particles, such that the transformation associated with each
link of the lattice is determined by the quantum state of the two particles
joined by that link. We focus particularly on a one-dimensional lattice –
a ring – of entangled rebits,
which are binary quantum objects confined to a
real state space. We consider states
of the ring that maximize the correlation between nearest neighbors, and show
that some correlation must be sacrificed in order to have non-trivial parallel
transport around the ring. An analogy is made with lattice gauge theory, in
which non-trivial parallel transport around closed loops is associated with a
reduction in the probability of the
field configuration. We discuss the possibility of extending our result to
qubits and to higher dimensional lattices.
Between Entropy and Subentropy
Sarah R. Nichols ’03 and William K. Wootters,
Professor of Physics
Quantum Information and
Computation 3, 1 [2003]
The von Neumann entropy and the subentropy of a mixed quantum
state are upper and lower bounds, respectively, on the accessible information of
any ensemble consistent with the given mixed stat. Here we define and
investigate a set of quantities intermediate between entropy and
subentropy.
PSYCHOLOGY
Defense Mechanisms and Physiological Reactivity to
Stress
Phebe Cramer, Professor of Psychology
Journal of
Personality, 71, 221-244
(2003)
The relation between the use of defense mechanisms and
autonomic nervous system reactivity, under conditions of laboratory stress, was
studied in 78 men and women. Both diastolic blood pressure (DBP) and skin
conductance level (SCL) were monitored during exposure to ten stress tasks;
concurrently, the use of three defense mechanisms was assessed by coding
Thematic Apperception Test stories. Autonomic reactivity was found to be
related to defenses; the nature of that relation differed across the defenses.
DBP, typically found to be associated with cognitive work, was higher in those
individuals who used more Identification, a defense that requires greater
cognitive activity. The use of Projection, on the other hand, was associated
with lower DBP. In addition, the use of Identification showed a tendency to be
associated with lower SCL.
Personality Change in Later Adulthood Is Predicted by
Defense Mechanism Use in Early Adulthood
Phebe Cramer, Professor of Psychology
Journal of Research in
Personality, 37, 76-104
(2003)
Evidence for both stability and change in Big 5 personality
traits was found for both men and women over a 24 year time period. The use of
the defense mechanisms of denial, projection and identification at early
adulthood was found to be related to early adult personality traits, and to
predict change in personality traits in middle adulthood and late middle age.
Significantly, the importance of defense mechanisms for predicting personality
change increased with age, while the importance of IQ decreased. The use of the
immature defenses of denial and projection predicted increased Neuroticism,
decreased Extraversion, and decreased Agreeableness. However, in interaction
with IQ, defense mechanisms were found to have a compensatory effect, in that
low IQ in combination with strong defense use predicted a more favorable
personality outcome.
Comment on “Preclinical Models: Status of Basic
Research in Depression”
D.H Overstreet, L.C Daws, G. Yadid, E. Friedman, Assistant
Professor of Psychology, A.A. Mathe, & D.S. Janowsky
Biological Psychiatry,
53, 268-270 (2003)
The Importance of Social Context in the Facilitation of
Emotional Expression in Men
Stephen M. Gray ’00 & Laurie Heatherington,
Professor of Psychology
Journal of Social and
Clinical Psychology, 22, 294-314
(2003)
This study examined the effect of social context on the
extent to which young men express their emotions, in particular, sadness.
Sadness was induced in 87 college men, who were then brought into a room with
two confederates (2 men or 2 women) and asked to talk about their feelings.
This followed either expression of sadness by one confederate (while the second
confederate listened either in a manner accepting of emotional expression or in
a neutral manner) or withholding of sadness expression by the speaking
confederate. The entire procedure was videotaped, and five aspects of
participants’ sadness expression were coded or rated. In general,
participants expressed significantly more sadness in the presence of expressive,
accepting, and (to a lesser extent) male confederates. Clinical and research
implications of these findings are discussed.
Behavioral Confirmation in the Interrogation Room: On the
Dangers of Presuming Guilt
Saul M. Kassin, Professor of Psychology, C. C. Goldstein
’00 & Kenneth Savitsky, Assistant Professor of Psychology
Law and Human Behavior,
27, 187-203 (2003)
A two-phased experiment tested the hypothesis that the
presumption of guilt that underlies police interrogations activates a process of
behavioral confirmation. In Phase I, 52 suspects guilty or innocent of a mock
theft were questioned by 52 interrogators led to believe that most suspects were
guilty or innocent. Interrogators armed with guilty as opposed to innocent
expectations selected more guilt-presumptive questions, used more interrogation
techniques, judged the suspect to be guilty, and exerted more pressure to get a
confession—particularly when paired with innocent suspects. In Phase II,
neutral observers listened to audiotapes of the suspect, interrogator, or both.
They perceived suspects in the guilty expectations condition as more
defensive—and as somewhat more guilty. Results indicate that a
presumption of guilt sets in motion a process of behavioral confirmation by
which expectations influence the interrogator’s behavior, the
suspect’s behavior, and ultimately the judgments of neutral observers.
He’s Guilty! Investigator Bias in Judgments of Truth
and Deception
C.A. Meissner & Saul M. Kassin, Professor of
Psychology
Law and Human
Behavior, 26, 469-480
(2002)
Detecting deception is an inherently difficult task but one
that plays a critical role for law enforcement investigators in the
interrogation room. In general, research has failed to indicate that
performance in this domain is improved by training or prior experience. We
applied a signal detection framework to the paradigm in attempting to better
conceptualize the influence of these factors. We found that while there was no
effect on discrimination accuracy, there was an effect on response bias such
that training and prior experience increase the likelihood of responding
"deceit" as opposed to "truth". This "investigator bias" was observed both in a
review of the literature and in the present study of North American law
enforcement investigators who took part in a deception detection task. Possible
theoretical mechanisms and practical implications of these findings are
discussed
Concave Utility, Transaction Costs, and Risk in Measuring
Discounting of Delayed Rewards
K. N. Kirby, Associate Professor of Psychology, and M.
Santiesteban ’97
Journal of Experimental
Psychology: Learning, Memory, and Cognition,
29, 66-79 (2003)
Previous research has consistently found that the decline in
the present values of delayed rewards as delay increases is better fit by
hyperbolic than by exponential delay-discounting functions. However, concave
utility, transaction costs, and risk each could produce hyperbolic-looking data,
even when the underlying discounting function is exponential. In Experiments 1
(n = 45) and 2
(n = 103) participants placed bids
indicating their present values of real future monetary rewards in
computer-based 2nd-price auctions. Both experiments suggest that utility is not
sufficiently concave to account for the superior fit of hyperbolic functions.
Experiment 2 provided no evidence that the effects of transaction costs and risk
are large enough to account for the superior fit of hyperbolic functions.
Correlates of Delay-Discount Rates: Evidence from
Tsimane’ Amerindians of the Bolivian Rain Forest
K. N. Kirby, Associate Professor of Psychology, R. Godoy,
& et al.
Journal of Economic
Psychology, 23, 291-316
(2002)
Delay-discount rates (or rates of time preference) are
associated with rates of consumption and a variety of impulsive behaviors.
Despite the importance of discounting, little is known about its covariates. We
estimated discount rates for money and candy rewards in each of four quarters
for 154 Tsimane’ Amerindians (10 to 80 years of age). The Tsimane’
are a horticultural and foraging society in the tropical rain forest of Bolivia.
Discount rates increased with age, decreased with educational levels and
literacy, and tended to decrease as recent income rose. Rates were not
associated with wealth, nutritional status, or moderate drug use. There were
low but reliable correlations between discount rates across quarters, suggesting
that a person’s discount rate is a somewhat stable characteristic that is
also strongly influenced by situational factors.
Effects of Gender and Family History of Alcohol Dependence
on a Behavioral Task of Impulsivity in Healthy Subjects
N. M. Petry, K. N. Kirby, Associate Professor of
Psychology, and H. R. Kranzler
Journal of Studies on
Alcohol, 63, 83-90 (2002)
Objective: Substance misusers are often considered impulsive,
but it is unclear whether impulsivity precedes substance misuse or develops as a
consequence of it. Because alcohol dependence has a clear familial component, a
study comparing impulsivity in nonaffected individuals who differ with respect
to paternal history of alcohol dependence may provide evidence of familial
vulnerability to impulsivity. Method: 122 healthy individuals participated, none
of whom misused alcohol or drugs; 58 were paternal history positive (PHP) and 64
were paternal history negative (PHN) for alcohol dependence. The
paternal-history groups were balanced on gender, and the four
paternal-history-by-gender groups were comparable with respect to demographic
features. Participants were offered choices between monetary rewards (e.g., $34)
available immediately and larger rewards (e.g., $50) available after delays
ranging from 1 week to 6 months. This task measures a construct of impulsivity
by assessing the rates at which individuals discount rewards delayed in time.
Results: Although discount rates in PHP men did not differ reliably from those
in PHN men, PHP women had higher discount rates than PHN women. Post hoc
contrasts revealed that PHN women had lower discount rates than the other three
groups. Similar results were obtained when age, education, socioeconomic status,
and scores on a measure of sociopathy were used as covariates. Conclusions:
Paternal history of alcohol dependence is associated with greater discount rates
among women. The lack of an effect for men may suggest different mechanisms by
which risk is transmitted from alcohol-dependent fathers to daughters compared
with sons. Further research examining these relations and the implications that
delay discounting has for drinking and related behaviors is warranted.
Prenatal Choline Supplementation Increases NGF Levels in the
Hippocampus and Frontal Cortex of Young and Adult Rats
Noah J. Sandstrom, Assistant Professor of Psychology, R.
Loy, & C. L. Williams
Brain
Research, 947, 9-16 (2002)
Female Sprague-Dawley rats received approximately 300 mg/kg
per day of choline chloride through their drinking water on days 11 of pregnancy
through birth and the level of nerve growth factor (NGF) in the hippocampus and
frontal cortex of their male offspring was measured at 20 and 90 days of age.
Prenatal choline supplementation caused significant increases in hippocampal NGF
levels at 20 and 90 days of age, while levels of NGF in the frontal cortex were
elevated in choline-supplemented rats at 20 days of age, but not 90 days of age.
These results suggest that increases in NGF levels during development or
adulthood may be one mechanism underlying improvements in spatial and temporal
memory of adult rats exposed to elevated levels of choline chloride
perinatally.
Empathy Neglect: Reconciling the Spotlight Effect and the
Correspondence Bias
N. Epley, Kenneth Savitsky, Assistant Professor of
Psychology, and T. Gilovich
Journal of Personality
and Social Psychology, 83,
300-312 (2002)
When people commit an embarrassing blunder, they typically
overestimate how harshly they will be judged by others. This tendency can seem
to fly in the face of research on the correspondence bias, which has established
that observers are, in fact, quite likely to draw harsh dispositional inferences
about others. These seemingly inconsistent literatures are reconciled by
showing that actors typically neglect to consider the extent to which observers
will moderate their correspondent inferences when they can easily adopt an
actor’s perspective or imagine being in his or her shoes. These results
help to explain why actors can overestimate the strength of observers’
dispositional inferences even when, as the literature on the correspondence bias
attests, observers are notoriously prone to drawing those very inferences.
Individualized Measurement of Irrational Beliefs in Remitted
Depressives
Ari Solomon, Assistant Professor of Psychology, Bruce A.
Arnow, Ian H. Gotlib, & Brian Wind
Journal of Clinical
Psychology, 59, 439-455
(2003)
Recent reviews of cognitive theories of depression have noted
that individualized assessment strategies might help to resolve mixed findings
regarding the stability of depressotypic beliefs and attitudes. We describe
encouraging results for an individualized measure of one such cognitive
construct, irrational beliefs. Twenty depression-prone women (recurrent major
depressives in full remission) and twenty closely matched never-depressed
controls completed leading forced-choice measures of irrational beliefs (the
Belief Scale; BS) and sociotropy-autonomy (The Revised Personal Style
Inventory), as well as the Specific Demands on Self Scale (SDS). The BS requires
participants to rate their agreement with twenty preselected statements of
irrational beliefs, while the SDS focuses on whether participants harbor any
strongly held irrational beliefs, even if uncommon or idiosyncratic. Consistent
with previous research, there were no group differences on the traditional
measure of irrational beliefs. In contrast, depression-prone participants
strongly exceeded controls on the SDS, and this difference persisted after
controlling for residual depression, anxiety symptoms, anxiety diagnoses,
sociotropy, and autonomy. These findings provide some initial support for a key
assumption of the rational-emotive model of depression, and, more broadly,
suggest that individualized assessment strategies may help researchers capture
the core negative beliefs of asymptomatic individuals, even in the absence of
mood or cognitive priming.
Categorization and Recognition Performance of a
Memory-Impaired Group
Safa R. Zaki, Assistant Professor of Psychology, R. M.
Nosofsky, R. Ramercad, & F. Unverzagt
Journal of the
International Neuropsychological Society,
9, 394-406 (2003)
Previous research has demonstrated dissociations between
categorization and recognition performance in amnesic patients, supporting the
idea that separate memory systems govern these tasks. However, previous research
has also demonstrated that these dissociations are predicted by a single-system
model that allows for reasonable parameter differences across groups. Generally,
previous studies have employed categorization tasks that are less demanding than
the recognition tasks. In the current study, the authors distinguish between
single-system and multiple system accounts by testing two sets of
memory-impaired individuals in a more demanding categorization task. These
patients, just like previous amnesic participants, show dissociation between
categorization and recognition when tested in previously employed paradigms.
However, they display a categorization deficit when tested in the more
challenging categorization task. The results are interpreted as support for a
single-system framework in which categorization and recognition depend on one
representational system.
Exemplar and Prototype Models Revisited: Response
Strategies, Selective Attention, and Stimulus Generalization
R. M. Nosofsky & Safa R. Zaki, Assistant Professor of
Psychology
Journal of Experimental
Psychology: Learning, Memory, & Cognition,
28, 924-940 (2002)
J. D. Smith and colleagues (J. P. Minda & J. D. Smith,
2001; J. D. Smith & J. P. Minda, 1998, 2000; J. D. Smith, M. J. Murray,
& J. P. Minda, 1997) presented evidence that they claimed challenged the
predictions of exemplar models and that supported prototype models. In the
authors' view, this evidence confounded the issue of the nature of the category
representation with the type of response rule (probabilistic vs. deterministic)
that was used. Also, their designs did not test whether the prototype models
correctly predicted generalization performance. The present work demonstrates
that an exemplar model that includes a response-scaling mechanism provides a
natural account of all of Smith et al's experimental results. Furthermore, the
exemplar model predicts classification performance better than the prototype
models when novel transfer stimuli are included in the experimental
designs.
Comparisons Between Exemplar-Similarity and Mixed-Prototype
Models of Classification Using a Linearly Separable Structure
R. D. Stanton, R. M. Nosofsky, & Safa R. Zaki,
Assistant Professor of Psychology
Memory and
Cognition, 30, 934-944
(2002)
R. M. Nosofsky and S. R. Zaki (2002) found that an exemplar
similarity model provided better accounts of individual subject classification
and generalization performance than did a mixed prototype model proposed by J.
D. Smith and J. P. Minda (1998; J. P. Minda and J. M. Smith, 2001). However,
these previous tests used a nonlinearly separable category structure. In the
present work, the authors extend the previous findings by demonstrating a
superiority for the exemplar generalization model over the mixed prototype model
in a case involving a linearly separable structure. Because this structure has
numerous features that Minda and Smith argued should be conducive to
prototype-based processing, the results pose a significant challenge to the
mixed prototype view.
Postnatal Stress of Early Weaning Exacerbates Behavioral
Outcome in Prenatal Alcohol Exposed Juvenile Rats
Betty Zimmerberg, Professor of Psychology and Heather E.
Weston ’95
Pharmacology,
Biochemistry and Behavior, 73,
45-52 (2002)
Some of the behavioral deficits caused by prenatal or
postnatal alcohol exposure have been demonstrated to be ameliorated by
environmental manipulations such as handling or environmental enrichment. This
experiment, in contrast, investigated whether behavioral deficits due to
prenatal alcohol exposure could be exacerbated by a stressful experience, early
weaning. Pregnant dams were given either a liquid diet with 35% of the calories
derived from alcohol, a liquid diet without alcohol to control for any effects
of the liquid diet administration, or ad libitum food and water. Half of each
litter were weaned at 15 days of age (Early Weaning) and half were weaned at 21
days of age (Normally Weaned). Offspring were weighed, tested for activity in
an open field at 18 days of age, and trained to find a hidden platform in the
Morris water maze at 22 to 24 days of age. Alcohol exposed subjects who were
weaned early were more impaired in spatial navigation ability than any other
group. Similarly, the combination of early weaning and prenatal alcohol
exposure caused the slowest growth. All subjects exposed to alcohol, regardless
of weaning condition, had greater latencies to find the platform than those from
the two control groups. There was no synergistic effect of alcohol and stress on
activity levels, but all early-weaned females were more active than normally
weaned females; males did not show this effect. Thus environmental stressors
such as early weaning can compound detrimental symptoms of prenatal alcohol
exposure. These results have implications for the understanding of the effects
of the environment on neuronal plasticity.
Neonatal Social Isolation Alters Both Maternal and Pup
Behaviors in Rats
Betty Zimmerberg, Professor of Psychology, Abigail J.
Rosenthal ‘02, and Aleksandra C. Stark ’01
Developmental
Psychobiology, 42, 52-63
(2003)
The development of emotional behavior is dependent on the
early experiences of the infant and the quality of maternal care. In these
experiments, the effects of social isolation during the pre-weaning period on
both pup behavior and maternal responsivity were examined. In the first study,
the number of ultrasonic vocalizations (USVs) emitted after brief maternal
separation was measured in neonatal rats with differing histories of social
isolation. The social isolation procedure consisted of five days of daily
separation from the dam and littermates for either three or six hours. At both
ages tested, socially isolated pups vocalized significantly less than control
pups. In the second study, the effects of prior isolation, either daily for
five previous days (Chronic Isolation) or for four hours prior to testing (Acute
Isolation) were examined in a T-maze choice test. Pup vocalizations in the
presence of the dam and dams’ maternal behavior were assessed. When the
dam was confined to the start box or during the maternal free access period,
both Chronic and Acute Isolates vocalized less than pups who had never left the
home nest. Dams spent more time with, and licked and groomed more frequently
and for a longer time both Chronic and Acute Isolates compared to pups who had
always been with dams in the home nest. These results suggest that early
isolation experience can alter subsequent responses to separation stress in
neonatal rats, and that maternal behavior is sensitive to the prior experiences
of offspring.