Invariance Principle for the one-dimensional dynamic Random Conductance Model under Moment Conditions
Probability
2017-06-29 v2
Abstract
Recent progress in the understanding of quenched invariance principles (QIP) for a continuous-time random walk on in an environment of dynamical random conductances is reviewed and extended to the -dimensional case. The law of the conductances is assumed to be ergodic with respect to time-space shifts and satisfies certain integrability conditions.
Keywords
Cite
@article{arxiv.1604.03826,
title = {Invariance Principle for the one-dimensional dynamic Random Conductance Model under Moment Conditions},
author = {Jean-Dominique Deuschel and Martin Slowik},
journal= {arXiv preprint arXiv:1604.03826},
year = {2017}
}
Comments
15 pages, 1 figure; submitted to the Proceedings of the "RIMS Symposium on Stochastic Analysis on Large Scale Interacting Systems", October 2015, Kyoto, Japan