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 ℤd in an environment of random conductances, μx,y. The law of the environment is assumed to be ergodic with respect to space shifts with ℙ[0 < μx,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).