A quenched central limit theorem for biased random walks on supercritical Galton-Watson trees
Probability
2017-01-17 v1
Abstract
In this note, we prove a quenched functional central limit theorem for a biased random walk on a supercritical Galton-Watson tree with leaves. This extends a result of Peres and Zeitouni (2008) where the case without leaves is considered. A conjecture of Ben Arous and Fribergh (2016) suggests an upper bound on the bias which we observe to be sharp.
Keywords
Cite
@article{arxiv.1701.04294,
title = {A quenched central limit theorem for biased random walks on supercritical Galton-Watson trees},
author = {Adam Bowditch},
journal= {arXiv preprint arXiv:1701.04294},
year = {2017}
}
Comments
11 pages