Scaling limit of the recurrent biased random walk on a Galton-Watson tree
Probability
2015-09-25 v1
Abstract
We show that the trace of the null recurrent biased random walk on a Galton-Watson tree properly renormalized converges to the Brownian forest. Our result extends to the setting of the random walk in random environment on a Galton-Watson tree.
Keywords
Cite
@article{arxiv.1509.07383,
title = {Scaling limit of the recurrent biased random walk on a Galton-Watson tree},
author = {Elie Aïdékon and Loïc de Raphélis},
journal= {arXiv preprint arXiv:1509.07383},
year = {2015}
}
Comments
26 pages, 2 figures