Critical Random Walk in Random Environment on Trees of Exponential Growth
Probability
2007-05-23 v1
Abstract
This paper studies the behavior of RWRE on trees in the critical case left open in previous work. For trees of exponential growth, a random perturbation of the transition probabilities can change a transient random walk into a recurrent one. This is the opposite of what occurs on trees of sub-exponential growth.
Keywords
Cite
@article{arxiv.math/0404049,
title = {Critical Random Walk in Random Environment on Trees of Exponential Growth},
author = {Robin Pemantle},
journal= {arXiv preprint arXiv:math/0404049},
year = {2007}
}
Comments
19 pages