Transient nearest neighbor random walk and Bessel process

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dc.creatorCsáki, Endre
dc.creatorFöldes, Antónia
dc.creatorRévész, Pál
dc.date2008-02-06
dc.date.accessioned2026-07-07T09:19:01Z
dc.date.available2026-07-07T09:19:01Z
dc.descriptionWe prove strong invariance principle between a transient Bessel process and a certain nearest neighbor (NN) random walk that is constructed from the former by using stopping times. It is also shown that their local times are close enough to share the same strong limit theorems. It is shown furthermore, that if the difference between the distributions of two NN random walks are small, then the walks themselves can be constructed so that they are close enough. Finally, some consequences concerning strong limit theorems are discussed.
dc.identifierhttps://arxiv.org/abs/0802.0778
dc.identifierhttp://arxiv.org/abs/0802.0778
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154238
dc.subjectProbability
dc.subject60F17; 60F15; 60J10; 60J55; 60J60
dc.titleTransient nearest neighbor random walk and Bessel process
dc.typetext

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