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dc.contributor.authorÖz, Mehmet
dc.contributor.authorÇağlar, M.
dc.contributor.authorEngländer, J.
dc.date.accessioned2017-06-17T13:54:22Z
dc.date.available2017-06-17T13:54:22Z
dc.date.issued2017
dc.identifier.issn0246-0203
dc.identifier.urihttp://projecteuclid.org/euclid.aihp/1491897748
dc.identifier.urihttp://hdl.handle.net/10679/5359
dc.description.abstractWe study a branching Brownian motion ZZ in RdRd, among obstacles scattered according to a Poisson random measure with a radially decaying intensity. Obstacles are balls with constant radius and each one works as a trap for the whole motion when hit by a particle. Considering a general offspring distribution, we derive the decay rate of the annealed probability that none of the particles of ZZ hits a trap, asymptotically in time tt. This proves to be a rich problem motivating the proof of a more general result about the speed of branching Brownian motion conditioned on non-extinction. We provide an appropriate “skeleton” decomposition for the underlying Galton–Watson process when supercritical and show that the “doomed” particles do not contribute to the asymptotic decay rate.
dc.language.isoengen_US
dc.publisherInstitute of Mathematical Statisticsen_US
dc.relation.ispartofAnnales de l'Institut Henri Poincaré, Probabilités et Statistiques
dc.rightsrestrictedAccess
dc.titleConditional speed of branching Brownian motion, skeleton decomposition and application to random obstaclesen_US
dc.typeArticleen_US
dc.peerreviewedyes
dc.publicationstatuspublisheden_US
dc.contributor.departmentÖzyeğin University
dc.contributor.authorID(ORCID 0000-0002-3263-3748 & YÖK ID 246073) Öz, Mehmet
dc.contributor.ozuauthorÖz, Mehmet
dc.identifier.wosWOS:000399817300014
dc.identifier.doi10.1214/16-AIHP739
dc.subject.keywordsBranching Brownian motion
dc.subject.keywordsPoissonian traps
dc.subject.keywordsRandom environment
dc.subject.keywordsHard obstacles
dc.subject.keywordsRightmost particle
dc.identifier.scopusSCOPUS:2-s2.0-85018824809
dc.contributor.authorMale1


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