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The University of Tennessee

Mathematics Department

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Seminars and Colloquiums
for week of September 12, 2011


Speaker:

Dr. David Anderson, Monday
Dr. Dan Ryan, NIMBioS Postdoc, Monday
Mr. Fei Xing, Monday
Professor Stefan Richter, Wednesday
Ms. Sarah Adelmageed and Mr. Nathan Pollesch, Thursday
Professor Jin Feng-University of Kansas, Thursday
Professor Jin Feng-University of Kansas, Friday


If you are interested in giving or arranging a talk for one of our seminars or colloquiums,
please review our calendar.

If you have questions, or a date you would like to confirm, please contact Dr. Judy Day.



Monday, September 12, 2011

Algebra Seminar
TIME:     2:30 – 3:30pm
ROOM:  Ayres B004           
SPEAKER:  Dr. David Anderson
TITLE:  The Abian Order on a Ring
ABSTRACT:  We will continue discussing the partial order <= defined on a reduced commutative ring R by <= for x, y in R if and only if xy=x^2.

DE and Applied/Computational Math Seminar
TIME:     3:35 – 4:25pm
ROOM:  Ayres 113             
SPEAKER:  Dr. Dan Ryan, NIMBioS postdoc
TITLE:  Modeling Avoidance Strategies for Intraguild Prey Dispersal: Cross-diffusion PDE Systems

Probability Seminar
TIME:   3:35 – 4:25pm
ROOM:  Ayres 122
SPEAKER:  Mr. Fei Xing
TITLE:  "Almost sure asymptotic for Ornstein-Uhlenbeck process of Poisson potential (II)"
ABSTRACT: Consider a particle moving randomly in R^d space. There are some points, independent of the particle movement, randomly located in this space (called the "random media"). The particle earns rewards from those points from time to time. An interesting question is: what is the growth rate of this total reward in a long run? In this talk, I will answer this question in some way under the situation that the particle follows a type of stationary movement (Ornstein-Uhlenbeck process) in a Poisson distributed random media.In the second talk, I will present the main strategies to obtain the asymptotic result.


Wednesday, September 14, 2011

Analysis Seminar
TIME:   3:35 – 4:25pm
ROOM:  Ayres 113
SPEAKER:  Professor Stefan Richter
TITLE:  Cyclic Functions in Spaces of Analytic Functions of Several Complex Variables (continued)
ABSTRACT:  A function f is called cyclic in a space H, if the polynomial multiples of f are dense in H.  For analytic functions of a single variable investigations about cyclic vectors are a classical topic: many nontrivial results are known and challenging open problems remain. I will discuss some results and open questions about functions of several variables.


Thursday, September 15, 2011

Math Biology Seminar
TIME:   12:45 – 1:35pm
ROOM:  NIMBioS classroom
SPEAKER:  Ms. Sarah Adelmageed and Mr. Nathan Pollesch
TITLE:  Diffusion of Smell and Taste: Chemical Communication

Junior Colloquium
TIME:   3:30 – 5:00pm
ROOM:  Ayres 405
SPEAKER:  Professor Jin Feng-University of Kansas
TITLE: Entropy, from the point of view of Boltzmann
ABSTRACT: The concept of entropy has been used in many physical contexts. In this talk, I will focus on and explain the original version as was devised by Boltzmann, to describe symmetry of particles in gas kinetics. The whole concept can be derived by using elementary calculations based upon combinatorial counting techniques and an asymptotic formula known as Sterling formula. The modern day version of what we will derive is known as Sanov theorem in the Theory of Large Deviations.


Friday, September 16, 2011

Colloquium
TIME:   3:30 – 5:00pm
ROOM:  Ayres 405
SPEAKER:  Professor Jin Feng-University of Kansas
TITLE:  A class of Hamilton-Jacobi PDE in space of measures and its associated compressible Euler equations
ABSTRACT:  We introduce a class of action integrals defined over probability measure-valued path space. We show that minimal action exists and satisfies a modified compressible Euler equation in fluid mechanics in weak sense. Moreover, we prove that both Cauchy and resolvent formulations of the associated Hamilton-Jacobi equation, in the space of probability measures, are well posed; even though we still cannot say anything about the uniqueness of the Euler equation.There are two key arguments which involve relaxation and regularization in formulation of the problem. They are both rooted in questions from probability. In particular, from a large deviation theory point of view, the regularization we introduced is a natural way to define entropy solution in path space.This is a joint work with Truyen Nguyen.

Refreshments available in Ayres 401 at 3:15 p.m.


Past notices:

9_5_11.html

8_29_11.html

8_22_11.html

Seminars from 2010-2011 academic year

Seminars from 2009-2010 academic year

Seminars from 2008-2009 academic year

Seminars from 2007-2008 academic year

Seminars from 2006-2007 academic year

Seminars from 2005-2006 academic year