Zusammenfassung für den Vortrag am 27.11.2012 (16:45 Uhr)

Martin Slowik (TU Berlin)
Invariance principle for the random conductance model under moment conditions
We consider a continuous time random walk on the lattice d in an environment of random conductances, μx,y. The law of the environment is assumed to be ergodic with respect to space shifts with [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).


06.06.2018, 07:19