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PRODID:-//PSU Mathematics Department//Seminar iCalendar Generator//EN
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CALSCALE:GREGORIAN
METHOD:PUBLISH
X-WR-CALNAME:Ph.D. Thesis Defense
X-WR-TIMEZONE:America/New_York
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TZID:America/New_York
X-LIC-LOCATION:America/New_York
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TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:EDT
DTSTART:19700308T020000
RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=2SU
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TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:EST
DTSTART:19701101T020000
RRULE:FREQ=YEARLY;BYMONTH=11;BYDAY=1SU
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20140418T090000
DTEND;TZID=America/New_York:20140418T110000
LOCATION:113 Osmond Laboratory
URL:http://www.math.psu.edu/seminars/meeting.php?id=23242
SUMMARY:Ph.D. Thesis Defense - "Approximate solutions to second order parab
olic equations\, with application to finance"
DESCRIPTION:Seminar: Ph.D. Thesis Defense\nTitle: "Approximate solutions to
second order parabolic equations\, with application to finance"\nSpeaker:
Chao Liang\, Adviser: Xiantao Li and Victor Nistor\nAbstract Link: http:
//\nAbstract: We further develop the Dyson-Taylor method\, which aims to g
et a series expansion approximation to the solution of second parabolic eq
uations\, with variable coefficients. I will explain how to use a slightly
different way to construct the approximate solution\, and show algorithms
to compute the approximation to arbitrarily high order. Time-dependent co
efficients and higher order parabolic PDEs will also be considered. For t
he application\, I will present the result for the implied volatility appr
oximation for CEV/SABR/Heston models.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20140422T100000
DTEND;TZID=America/New_York:20140422T120000
LOCATION:144 Fenske Laboratory
URL:http://www.math.psu.edu/seminars/meeting.php?id=23245
SUMMARY:Ph.D. Thesis Defense - "On ergodicity of geodesic flows and nondens
e orbits of certain partially hyperbolic systems"
DESCRIPTION:Seminar: Ph.D. Thesis Defense\nTitle: "On ergodicity of geodesi
c flows and nondense orbits of certain partially hyperbolic systems"\nSpea
ker: Weisheng Wu\, Advisers: Federico Rodriguez-Herts and Anatole Katok\,
Penn State\nAbstract Link: http://\nAbstract: We present two results on t
wo different dynamical systems with certain hyperbolic behavior. In the fi
rst one\, we consider the geodesic flows in a rank one surface of nonposit
ive curvature. While the ergodicity of geodesic flow in surfaces of negati
ve curvature is well known since 1940's by Hopf\, the ergodicity in rank
one case remains open. We will present a proof of ergodicity in rank one c
ase under a condition. In the second part\, we discuss a result on the ful
l Hausdorff dimension of the set of points with nondense forword orbit in
partially hyperbolic systems with conformal unstable manifolds. Particular
ly we will talk about Schmidt games and how to build measures with pointwi
se dimension converging to dim(M) from a result due to McMullen.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20140506T110000
DTEND;TZID=America/New_York:20140506T130000
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=23259
SUMMARY:Ph.D. Thesis Defense - "Effective Properties and Collective Dynamic
s in Bacterial Suspensions"
DESCRIPTION:Seminar: Ph.D. Thesis Defense\nTitle: "Effective Properties and
Collective Dynamics in Bacterial Suspensions"\nSpeaker: Shawn Ryan\, Advi
ser: Leonid Berlyand\, Penn State\nAbstract: The study of collective moti
on in bacterial suspensions has been of significant recent interest. This
dissertation introduces a novel coupled PDE/ODE model for the suspension t
o better understand the non-trivial spatial and temporal correlations emer
ging through the course of collective swimming. A bacterium is represented
as a point force dipole subject to two types of interactions: hydrodynami
c and excluded volume (collisions). The results of direct particle simulat
ions confirm striking experimental observations: correlations are independ
ent of the concentration and swimming speed past the critical concentratio
n threshold for collective motion. Instead\, correlation properties are so
lely determined by the particle size and shape. Analysis of the model show
s that the alignment of asymmetrical particles and the presence of self-pr
opulsion also gives rise to a drastic reduction in the effective viscosity
of the suspension. An explicit asymptotic formula for the effective visco
sity in terms of known physical parameters is derived using a kinetic appr
oach. In addition\, the model developed for the suspension will be shown
to be well-posed. The results of this dissertation exemplify the delicate
balance between hydrodynamic interactions and collisions governing collec
tive motion in bacterial suspensions and provide important insights into i
ts mesoscopic nature.
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