Abstract for the talk at 27.11.2012 (16:45 h)

Oberseminar ANALYSIS - PROBABILITY
Martin Slowik (TU Berlin)
Invariance principle for the random conductance model under moment conditions
We consider a continuous time random walk on the lattice ℤ^d in an environment of random conductances, μ_x,y. The law of the environment is assumed to be ergodic with respect to space shifts with ℙ[0 < μ_x,y < ∞] = 1. In this talk, I will explain how a quenched invariance principle can be established under suitable moment conditions. A key ingredient in the proof is to establish the sub-linearity of the corrector by means of Moser’s iteration scheme.

This is joint work with Sebastian Andres (Univ. Bonn) and Jean-Dominique Deuschel (TU Berlin).