Conditional speed of branching Brownian motion, skeleton decomposition and application to random obstacles
dc.contributor.author | Öz, Mehmet | |
dc.contributor.author | Çağlar, M. | |
dc.contributor.author | Engländer, J. | |
dc.date.accessioned | 2017-06-17T13:54:22Z | |
dc.date.available | 2017-06-17T13:54:22Z | |
dc.date.issued | 2017 | |
dc.identifier.issn | 0246-0203 | |
dc.identifier.uri | http://projecteuclid.org/euclid.aihp/1491897748 | |
dc.identifier.uri | http://hdl.handle.net/10679/5359 | |
dc.description.abstract | We 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.iso | eng | en_US |
dc.publisher | Institute of Mathematical Statistics | en_US |
dc.relation.ispartof | Annales de l'Institut Henri Poincaré, Probabilités et Statistiques | |
dc.rights | restrictedAccess | |
dc.title | Conditional speed of branching Brownian motion, skeleton decomposition and application to random obstacles | en_US |
dc.type | Article | en_US |
dc.peerreviewed | yes | |
dc.publicationstatus | published | en_US |
dc.contributor.department | Özyeğin University | |
dc.contributor.authorID | (ORCID 0000-0002-3263-3748 & YÖK ID 246073) Öz, Mehmet | |
dc.contributor.ozuauthor | Öz, Mehmet | |
dc.identifier.wos | WOS:000399817300014 | |
dc.identifier.doi | 10.1214/16-AIHP739 | |
dc.subject.keywords | Branching Brownian motion | |
dc.subject.keywords | Poissonian traps | |
dc.subject.keywords | Random environment | |
dc.subject.keywords | Hard obstacles | |
dc.subject.keywords | Rightmost particle | |
dc.identifier.scopus | SCOPUS:2-s2.0-85018824809 | |
dc.contributor.authorMale | 1 | |
dc.relation.publicationcategory | Article - International Refereed Journal - Institutional Academic Staff |
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