Un of Tenn | Math Department

Seminars and Colloquiums
for the week of October 29, 2012

Speakers:

Prof. Krzysztof Bogdan, Wroclaw University of Technology, Polish Academy of Sciences and Stanford University, Monday
Mr. Joseph White, Wednesday

Monday, October 29

PROBABILITY SEMINAR
TIME: 3:35 - 4:25 p.m.
ROOM: Ayres 112
SPEAKER: Prof. Krzysztof Bogdan, Wroclaw University of Technology, Polish Academy of Sciences and Stanford University
TITLE: On perturbations of transitions densities and other integral kernels
ABSTRACT: Perturbation series is an explicit method to construct new semigroups. In terms of the generators, it corresponds to addition of terms of smaller order. In terms of stochastic processes, it corresponds to series expansion in Feynman-Kac formulae.

Starting from an example for the Brownian motion we will present certain assumptions under which the perturbation series converge and is comparable to the original transition probability. The research started with an observation of a 3G Theorem for the transition density of the isotropic stable Levy process, and we will explain why 3G is helpful in verifying the said assumptions. Part of the results hold for integral kernels more general than transition probabilities. For instance we can estimate fundamental solutions of fractional PDEs with added Schroedinger perturbations.

Wednesday, October 31

ANALYSIS SEMINAR
TIME: 3:35 - 4:30 p.m.
ROOM: Ayres 112
SPEAKER: Mr. Joseph White
TITLE: Cyclic p-roots of prime length
ABSTRACT: We present a result of U. Haagerup, proved independently by T. Tao, stating that for every p prime there exist only finitely many cyclic p-roots. This is equivalent to saying that there are finitely many non-equivalent cyclic Hadamard matrices of prime dimension.

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 colloquium@math.utk.edu.

Past notices:

Seminars from 2011-2012 academic year

Seminars from 2010-2011 academic year