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### 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.

Original language | English |
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Pages (from-to) | 55-67 |

Number of pages | 13 |

Journal | ALEA Latin American Journal of Probability and Mathematical Statistics |

Volume | 12 |

Issue number | 1 |

Publication status | Published - 2015 |

### Keywords

- Branching random walk
- Trace
- Topological ends

## Fingerprint Dive into the research topics of 'The number of ends of critical branching random walks'. Together they form a unique fingerprint.

## Projects

- 1 Finished

### EPSRC Posdoctoral Fellowship in Applied Probability for Dr Matthew I Roberts

Engineering and Physical Sciences Research Council

3/04/13 → 2/07/16

Project: Research council