Speed of the biased random walk on a Galton--Watson tree
Probability
2015-03-19 v4
Abstract
We give an expression of the speed of the biased random walk on a Galton--Watson tree. In the particular case of the simple random walk, we recover the result of Lyons, Pemantle and Peres \cite{LyPePe95}. The proof uses a description of the invariant distribution of the environment seen from the particle.
Keywords
Cite
@article{arxiv.1111.4313,
title = {Speed of the biased random walk on a Galton--Watson tree},
author = {Elie Aidekon},
journal= {arXiv preprint arXiv:1111.4313},
year = {2015}
}
Comments
reference added; Statement of Theorem 4.1 changed