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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.facultymemberNo
dc.contributor.kuauthorÖz, Mehmet
dc.contributor.schoolcollegeinstituteCollege of Sciences
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.fulltextNo
dc.description.harvestedfromManual
dc.description.indexedbyWOS
dc.description.indexedbyScopus
dc.description.openaccessNO
dc.description.peerreviewstatusN/A
dc.description.publisherscopeInternational
dc.description.readpublishN/A
dc.description.sponsoredbyTubitakEuTÜBİTAK
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.studentonlypublicationYes
dc.description.studentpublicationYes
dc.description.versionN/A
dc.identifier.doi10.1016/j.spl.2015.10.010
dc.identifier.eissn1879-2103
dc.identifier.embargoN/A
dc.identifier.endpage216
dc.identifier.grantno2214
dc.identifier.issn0167-7152
dc.identifier.quartileQ4
dc.identifier.scopus2-s2.0-84960805135
dc.identifier.startpage211
dc.identifier.urihttps://doi.org/10.1016/j.spl.2015.10.010
dc.identifier.urihttps://hdl.handle.net/20.500.14288/9516
dc.identifier.volume110Page211-216
dc.identifier.wos000374627200030
dc.keywordsBranching Brownian motion
dc.keywordsPoissonian traps
dc.keywordsRandom environment
dc.keywordsHard obstacles Sausage
dc.language.isoeng
dc.publisherElsevier
dc.relation.affiliationKoç University
dc.relation.collectionKoç University Institutional Repository
dc.relation.ispartofStatistics and Probability Letters
dc.relation.openaccessN/A
dc.rightsN/A
dc.subjectStatistics and probability
dc.titleSurvival of branching Brownian motion in a uniform trap field
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.kuauthorÖz, Mehmet
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