Recurrence and Transience for Branching Random Walks in an iid Random Environment

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dc.creatorMüller, Sebastian
dc.date2006-06-02
dc.date.accessioned2026-07-07T10:17:32Z
dc.date.available2026-07-07T10:17:32Z
dc.descriptionWe give three different criteria for transience of a Branching Markov Chain. These conditions enable us to give a classification of Branching Random Walks in Random Environment (BRWRE) on Cayley Graphs in recurrence and transience. This classification is stated explicitly for BRWRE on $\Z^d.$ Furthermore, we emphasize the interplay between Branching Markov Chains and the spectral radius. We prove properties of the spectral radius of the Random Walk in Random Environment with the help of appropriate Branching Markov Chains.
dc.identifierhttps://arxiv.org/abs/math/0606055
dc.identifierhttp://arxiv.org/abs/math/0606055
dc.identifierMarkov Processes and Related Fields 14 (2008), 115-830
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173886
dc.subjectProbability
dc.subject60J10, 60J80
dc.titleRecurrence and Transience for Branching Random Walks in an iid Random Environment
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