Strong approximations of three-dimensional Wiener sausages

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dc.creatorCsáki, Endre
dc.creatorHu, Yueyun
dc.date2004-05-21
dc.date.accessioned2026-07-07T05:08:27Z
dc.date.available2026-07-07T05:08:27Z
dc.descriptionIn this paper we prove that the centered three-dimensional Wiener sausage can be strongly approximated by a one-dimensional Brownian motion running at a suitable time clock. The strong approximation gives all possible laws of iterated logarithm as well as the convergence in law in terms of process for the normalized Wiener sausage. The proof relies on Le Gall's estimates between the Wiener sausage and the Brownian intersection local times.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0405413
dc.identifierhttp://arxiv.org/abs/math/0405413
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71270
dc.subjectProbability
dc.subject60F15
dc.titleStrong approximations of three-dimensional Wiener sausages
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