Friday, December 13, 2019 - 14:15 in D5-153
On gradient estimates of the heat kernel for random walks in time-dependent random environments
A talk in the Oberseminar Analysis series by
Martin Slowik
| Abstract: |
We consider a random walk among time-dependent random conductances.
In recent years the long-time behaviour of this model under diffusive
rescaling has been intensively studied, and -- depending on the
assumptions on the law of the environment -- is fairly well
understood. In this talk, after reviewing results and methods that has
been used to prove e.g. quenched invariance principles à la Donsker
(in the uniform topology), quenched local limit theorems, I will
discuss how to obtain first and second space derivatives of the
annealed transition density.
This is work in progress jointly with Jean-Dominique Deuschel (TU
Berlin) and Takashi Kumagai (RIMS Kyoto).
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