Einstein relation for biased random walk on Galton--Watson trees
Probability
2011-12-23 v2
Abstract
We prove the Einstein relation, relating the velocity under a small perturbation to the diffusivity in equilibrium, for certain biased random walks on Galton--Watson trees. This provides the first example where the Einstein relation is proved for motion in random media with arbitrary deep traps.
Cite
@article{arxiv.1106.4387,
title = {Einstein relation for biased random walk on Galton--Watson trees},
author = {Gerard Ben Arous and Yueyun Hu and Stefano Olla and Ofer Zeitouni},
journal= {arXiv preprint arXiv:1106.4387},
year = {2011}
}
Comments
Minor errors corrected