Branching Brownian motion: Almost sure growth along unscaled paths

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dc.creatorHarris, Simon
dc.creatorRoberts, Matthew
dc.date2008-11-11
dc.date.accessioned2026-07-07T10:17:28Z
dc.date.available2026-07-07T10:17:28Z
dc.descriptionWe give new results on the growth of the number of particles in a dyadic branching Brownian motion which follow within a fixed distance of a path $f:[0,\infty)\to \mathbb{R}$. We show that it is possible to count the number of particles without rescaling the paths. Our results reveal that the number of particles along certain paths can oscillate dramatically. The methods used are entirely probabilistic, taking advantage of the spine technique developed by, amongst others, Lyons et al, Kyprianou, and Hardy & Harris.
dc.description20 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0811.1704
dc.identifierhttp://arxiv.org/abs/0811.1704
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173865
dc.subjectProbability
dc.subject60J80
dc.titleBranching Brownian motion: Almost sure growth along unscaled paths
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