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Type: Artigo de periódico
Title: Survival of Branching Random Walks in Random Environment
Author: Gantert, N
Muller, S
Popov, S
Vachkovskaia, M
Abstract: We study survival of nearest-neighbor branching random walks in random environment (BRWRE) on Z. A priori there are three different regimes of survival: global survival, local survival, and strong local survival. We show that local and strong local survival regimes coincide for BRWRE and that they can be characterized with the spectral radius of the first moment matrix of the process. These results are generalizations of the classification of BRWRE in recurrent and transient regimes. Our main result is a characterization of global survival that is given in terms of Lyapunov exponents of an infinite product of i.i.d. 2x2 random matrices.
Subject: Local extinction
Global extinction
Random matrices
Lyapunov exponent
Country: EUA
Editor: Springer/plenum Publishers
Citation: Journal Of Theoretical Probability. Springer/plenum Publishers, v. 23, n. 4, n. 1002, n. 1014, 2010.
Rights: fechado
Identifier DOI: 10.1007/s10959-009-0227-5
Date Issue: 2010
Appears in Collections:Unicamp - Artigos e Outros Documentos

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