Quenched invariance principle for the Random Conductance Model with time-dependent degenerate weights

Date
2016/09/23 Fri 15:00 - 16:30
Room
3号館552号室
Speaker
Martin Slowik
Affiliation
TU Berlin
Abstract

I will present a quenched invariance principle for the dynamic random conductance model, that is a continuous time random walk on $\mathbb{Z}^d$ in an environment of time-dependent random conductances. The law of the conductances is assumed to be stationary and ergodic with respect to space-time shifts and satisfy some moment conditions. In particular, I will discuss and compare different technique that allows to derive a maximal inequality for the corrector.
This is joint work with Sebastian Andres, Alberto Chiarini and Jean-Dominique Deuschel.