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The number of ends of critical branching random walks

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Candellero, Elisabetta and Roberts, Matthew I. (2015) The number of ends of critical branching random walks. Alea (Rio de Janeiro): Latin American journal of probability and mathematical statistics, 12 (1). pp. 55-67.

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Official URL: http://alea.impa.br/english/index_v12.htm

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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.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Statistics
Library of Congress Subject Headings (LCSH): Random walks (Mathematics)
Journal or Publication Title: Alea (Rio de Janeiro): Latin American journal of probability and mathematical statistics
Publisher: Instituto Nacional de Matematica Pura e Aplicada (I M P A)
ISSN: 1980-0436
Official Date: 2015
Dates:
DateEvent
2015Published
19 January 2015Accepted
9 May 2014Submitted
Volume: 12
Number: 1
Number of Pages: 13
Page Range: pp. 55-67
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Funder: Österreichische Akademie der Wissenschaften [Austrian Academy of Sciences], Microsoft Research, Fonds zur Förderung der Wissenschaftlichen Forschung (Austria) (FWF), McGill University, University of Warwick, Engineering and Physical Sciences Research Council (EPSRC)
Grant number: D-1503000014 (AAS), S09606 (FWF), E-1503W01230 (FWF),EP/K007440/1 (EPSRC)

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