Central Limit Theorem for Branching Random Walks in Random Environment

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dc.creatorYoshida, Nobuo
dc.date2007-12-05
dc.date.accessioned2026-07-07T08:47:24Z
dc.date.available2026-07-07T08:47:24Z
dc.descriptionWe consider branching random walks in $d$-dimensional integer lattice with time-space i.i.d. offspring distributions. When $d \ge 3$ and the fluctuation of the environment is well moderated by the random walk, we prove a central limit theorem for the density of the population, together with upper bounds for the density of the most populated site and the replica overlap. We also discuss the phase transition of this model in connection with directed polymers in random environment.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/0712.0648
dc.identifierhttp://arxiv.org/abs/0712.0648
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143586
dc.subjectProbability
dc.subjectMathematical Physics
dc.subject60K37 (Primary); 60F05, 60J80, 60K35, 82D30 (Secondary)
dc.titleCentral Limit Theorem for Branching Random Walks in Random Environment
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