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Survival of branching Brownian motion in a uniform trap field

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dc.contributor.coauthorN/A
dc.contributor.departmentDepartment of Mathematics
dc.contributor.kuauthorÖz, Mehmet
dc.contributor.kuprofilePhD Student
dc.contributor.otherDepartment of Mathematics
dc.contributor.schoolcollegeinstituteGraduate School of Sciences and Engineering
dc.contributor.yokidN/A
dc.date.accessioned2024-11-09T23:10:41Z
dc.date.issued2016
dc.description.abstractWe study a branching Brownian motion Z evolving in R-d, where a uniform field of Poissonian traps are present. We consider a general offspring distribution for Z and find the asymptotic decay rate of the annealed survival probability, conditioned on non-extinction. The method of proof is to use a skeleton decomposition for the Galton-Watson process underlying Z and to show that the particles of finite line of descent do not contribute to the survival asymptotics. This work is a follow-up to Oz and Caglar (2013) and solves the problem considered therein completely.
dc.description.indexedbyWoS
dc.description.indexedbyScopus
dc.description.openaccessNO
dc.description.publisherscopeInternational
dc.description.sponsoredbyTubitakEuN/A
dc.description.sponsorshipTUBITAK[2214] The author would like to thank Mine Caglar and Janos Englander for fruitful discussions, and acknowledges the support of TUBITAK2214 International Doctoral Research Fellowship Program, and the hospitality of Mathematisch Instituut, Universiteit Leiden, where he was able to complete the present work. The author would also like to thank the anonymous reviewer for constructive comments that helped to improve the manuscript.
dc.description.volume110
dc.identifier.doi10.1016/j.spl.2015.10.010
dc.identifier.eissn1879-2103
dc.identifier.issn0167-7152
dc.identifier.quartileQ4
dc.identifier.scopus2-s2.0-84960805135
dc.identifier.urihttp://dx.doi.org/10.1016/j.spl.2015.10.010
dc.identifier.urihttps://hdl.handle.net/20.500.14288/9516
dc.identifier.wos374627200030
dc.keywordsBranching Brownian motion
dc.keywordsPoissonian traps
dc.keywordsRandom environment
dc.keywordsHard obstacles Sausage
dc.languageEnglish
dc.publisherElsevier Science Bv
dc.sourceStatistics & Probability Letters
dc.subjectStatistics
dc.subjectProbability
dc.titleSurvival of branching Brownian motion in a uniform trap field
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.authorid0000-0002-3263-3748
local.contributor.kuauthorÖz, Mehmet
relation.isOrgUnitOfPublication2159b841-6c2d-4f54-b1d4-b6ba86edfdbe
relation.isOrgUnitOfPublication.latestForDiscovery2159b841-6c2d-4f54-b1d4-b6ba86edfdbe

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