The number of ends of critical branching random walks

Elisabetta Candellero, Matthew I. Roberts

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)55-67
Number of pages13
JournalALEA Latin American Journal of Probability and Mathematical Statistics
Volume12
Issue number1
Publication statusPublished - 2015

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Branching Random Walk
Trace
Sufficient Conditions
Graph in graph theory

Keywords

  • Branching random walk
  • Trace
  • Topological ends

Cite this

The number of ends of critical branching random walks. / Candellero, Elisabetta; Roberts, Matthew I.

In: ALEA Latin American Journal of Probability and Mathematical Statistics, Vol. 12, No. 1, 2015, p. 55-67.

Research output: Contribution to journalArticle

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