On the boundary at infinity for branching random walk
Probability
2022-05-31 v1 Group Theory
Abstract
We prove that supercritical branching random walk on a transient graph converges almost surely under rescaling to a random measure on the Martin boundary of the graph. Several open problems and conjectures about this limiting measure are presented.
Cite
@article{arxiv.2205.15287,
title = {On the boundary at infinity for branching random walk},
author = {Elisabetta Candellero and Tom Hutchcroft},
journal= {arXiv preprint arXiv:2205.15287},
year = {2022}
}
Comments
11 pages