The speed of random walk on Galton-Watson trees with vanishing conductances
Probability
2020-11-23 v1
Abstract
In this paper we consider random walks on Galton-Watson trees with random conductances. On these trees, the distance of the walker to the root satisfies a law of large numbers with limit the effective velocity, or speed of the walk. We study the regularity of the speed as a function of the distribution of conductances, in particular when the distribution of conductances converges to a non-elliptic limit.
Keywords
Cite
@article{arxiv.2011.10519,
title = {The speed of random walk on Galton-Watson trees with vanishing conductances},
author = {Tabea Glatzel and Jan Nagel},
journal= {arXiv preprint arXiv:2011.10519},
year = {2020}
}