The number of ends of critical branching random walks
Probability
2021-01-28 v3
Abstract
We investigate the number of topological ends of the trace of branching random walk (BRW) on a graph, giving a sufficient condition for the trace to have infinitely many ends. We then describe some interesting examples of non-symmetric BRWs with just one end.
Cite
@article{arxiv.1401.0429,
title = {The number of ends of critical branching random walks},
author = {Elisabetta Candellero and Matthew I. Roberts},
journal= {arXiv preprint arXiv:1401.0429},
year = {2021}
}
Comments
13 pages. Accepted version as of January 2015