Moderate deviations and law of the iterated logarithm for intersections of the ranges of random walks

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dc.creatorChen, Xia
dc.date2005-08-30
dc.date.accessioned2026-07-07T05:22:47Z
dc.date.available2026-07-07T05:22:47Z
dc.descriptionLet S_1(n),...,S_p(n) be independent symmetric random walks in Z^d. We establish moderate deviations and law of the iterated logarithm for the intersection of the ranges #{S_1[0,n]\cap... \cap S_p[0,n]} in the case d=2, p\ge 2 and the case d=3, p=2.
dc.descriptionPublished at http://dx.doi.org/10.1214/009117905000000035 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/math/0508610
dc.identifierhttp://arxiv.org/abs/math/0508610
dc.identifierAnnals of Probability 2005, Vol. 33, No. 3, 1014-1059
dc.identifierdoi:10.1214/009117905000000035
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76198
dc.subjectProbability
dc.subject60D05, 60F10, 60F15, 60G50 (Primary)
dc.titleModerate deviations and law of the iterated logarithm for intersections of the ranges of random walks
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