The number of ends of critical branching random walks

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.

13 pages. Accepted version as of January 2015

Cited by in corpus (1)

• Limit distributions of branching Markov chains