A criterion for transience of multidimensional branching random walk in random environment

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dc.creatorMüller, Sebastian
dc.date2007-05-14
dc.date.accessioned2026-07-07T10:17:18Z
dc.date.available2026-07-07T10:17:18Z
dc.descriptionWe develop a criterion for transience for a general model of branching Markov chains. In the case of multi-dimensional branching random walk in random environment (BRWRE) this criterion becomes explicit. In particular, we show that \emph{Condition L} of Comets and Popov is necessary and sufficient for transience as conjectured. Furthermore, the criterion applies to two important classes of branching random walks and implies that the critical branching random walk is transient resp. dies out locally.
dc.identifierhttps://arxiv.org/abs/0705.1874
dc.identifierhttp://arxiv.org/abs/0705.1874
dc.identifierElectronic Journal of Probability, 13 (2008), 1189-1202
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173805
dc.subjectProbability
dc.subject60K37, 60J10, 60J80
dc.titleA criterion for transience of multidimensional branching random walk in random environment
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