Branching random walk with trapping zones

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TitreBranching random walk with trapping zones
Type de publicationJournal Article
Year of Publication2018
AuteursBiard R, Mallein B, Rabehasaina L
JournalSTOCHASTIC PROCESSES AND THEIR APPLICATIONS
Volume128
Pagination2341-2366
Date PublishedJUL
Type of ArticleArticle
ISSN0304-4149
Mots-clésAbsorbing set, Branching random walk, Galton Watson process
Résumé

We consider a branching random walk with values in a certain set \$, where the branching mechanism is different according to whether particles (individuals) are in a certain so called trapping set A subset of \$ or not. We are then interested, under different scenarios, in properties of either the transient random measure describing distribution of individuals on \$ over time or its asymptotic behaviour. (C) 2017 Elsevier B.V. All rights reserved.

DOI10.1016/j.spa.2017.09.006