Seminar series
Date
Mon, 25 Nov 2013
Time
15:45 -
16:45
Location
Oxford-Man Institute
Speaker
Sebastian Andres
Organisation
Bonn University
Abstract:In this talk we consider a continuous time random
walk $X$ on $\mathbb{Z}^d$ in an environment of random conductances taking
values in $[0, \infty)$. Assuming that the law of the conductances is
ergodic with respect to space shifts, we present a quenched invariance
principle for $X$ under some moment conditions on the environment. The key
result on the sublinearity of the corrector is obtained by Moser's iteration
scheme. Under the same conditions we also present a local limit theorem. For
the proof some Hölder regularity of the transition density is needed, which
follows from a parabolic Harnack inequality. This is joint work with J.-D.
Deuschel and M. Slowik.