On the volume of the shrinking branching Brownian sausage
dc.contributor.author | Öz, Mehmet | |
dc.date.accessioned | 2021-02-08T11:51:22Z | |
dc.date.available | 2021-02-08T11:51:22Z | |
dc.date.issued | 2020 | |
dc.identifier.issn | 1083-589X | en_US |
dc.identifier.uri | http://hdl.handle.net/10679/7277 | |
dc.identifier.uri | https://projecteuclid.org/euclid.ecp/1589335619 | |
dc.description.abstract | The branching Brownian sausage in R-d was defined in [4] similarly to the classical Wiener sausage, as the random subset of R-d scooped out by moving balls of fixed radius with centers following the trajectories of the particles of a branching Brownian motion (BBM). We consider a d-dimensional dyadic BBM, and study the large-time asymptotic behavior of the volume of the associated branching Brownian sausage (BBM-sausage) with radius exponentially shrinking in time. Using a previous result on the density of the support of BBM, and some well-known results on the classical Wiener sausage and Brownian hitting probabilities, we obtain almost sure limit theorems as time tends to infinity on the volume of the shrinking BBM-sausage in all dimensions. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | The Institute of Mathematical Statistics and the Bernoulli Society | en_US |
dc.relation.ispartof | Electronic Communications in Probability | |
dc.rights | openAccess | |
dc.title | On the volume of the shrinking branching Brownian sausage | en_US |
dc.type | Article | en_US |
dc.description.version | Publisher version | en_US |
dc.peerreviewed | yes | en_US |
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.volume | 25 | en_US |
dc.identifier.startpage | 1 | |
dc.identifier.endpage | 12 | |
dc.identifier.wos | WOS:000535899800001 | |
dc.identifier.doi | 10.1214/20-ECP316 | en_US |
dc.subject.keywords | Branching Brownian motion | en_US |
dc.subject.keywords | Density | en_US |
dc.subject.keywords | Sausage | en_US |
dc.subject.keywords | Strong law of large numbers | en_US |
dc.identifier.scopus | SCOPUS:2-s2.0-85087071155 | |
dc.contributor.authorMale | 1 | |
dc.relation.publicationcategory | Article - International Refereed Journal - Institutional Academic Staff |
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