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dc.contributor.CRUESPUniversidade Estadual de Campinaspt_BR
dc.typeArtigo de periódicopt_BR
dc.titleSurvival of Branching Random Walks in Random Environmentpt_BR
dc.contributor.authorGantert, Npt_BR
dc.contributor.authorMuller, Spt_BR
dc.contributor.authorPopov, Spt_BR
dc.contributor.authorVachkovskaia, Mpt_BR
unicamp.authorPopov, Serguei Vachkovskaia, Marina Univ Estadual Campinas, Inst Math Stat & Sci Computat, Dept Stat, BR-13083970 Campinas, SP, Brazilpt_BR
unicamp.authorGantert, Nina CeNos Ctr Nonlinear Sci, Fachbereich Math & Informat, D-48149 Munster, Germanypt_BR
unicamp.authorGantert, Nina Inst Stat Math, D-48149 Munster, Germanypt_BR
unicamp.authorMueller, Sebastian Graz Univ Technol, Inst Math Strukturtheorie, A-8010 Graz, Austriapt_BR
dc.subjectLocal extinctionpt_BR
dc.subjectGlobal extinctionpt_BR
dc.subjectRandom matricespt_BR
dc.subjectLyapunov exponentpt_BR
dc.description.abstractWe 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
dc.relation.ispartofJournal Of Theoretical Probabilitypt_BR
dc.relation.ispartofabbreviationJ. Theor. Probab.pt_BR
dc.publisher.cityNew Yorkpt_BR
dc.publisherSpringer/plenum Publisherspt_BR
dc.identifier.citationJournal Of Theoretical Probability. Springer/plenum Publishers, v. 23, n. 4, n. 1002, n. 1014, 2010.pt_BR
dc.sourceWeb of Sciencept_BR
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)pt_BR
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)pt_BR
dc.description.sponsorshipDFG [MU 2868/1-1]pt_BR
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)pt_BR
dc.description.sponsorship1Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)pt_BR
dc.description.sponsorship1Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)pt_BR
dc.description.sponsorship1Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)pt_BR
dc.description.sponsordocumentnumberFAPESP [04/07276-2]pt
dc.description.sponsordocumentnumberCNPq [300328/2005-2, 304561/2006-1, 471925/2006-3]pt
dc.description.sponsordocumentnumberDFG [MU 2868/1-1]pt
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