Moderate deviations and laws of the iterated logarithm for the renormalized self-intersection local times of planar random walks

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dc.creatorBass, Richard F.
dc.creatorChen, Xia
dc.creatorRosen, Jay
dc.date2005-06-20
dc.date.accessioned2026-07-07T05:20:52Z
dc.date.available2026-07-07T05:20:52Z
dc.descriptionLet B_n be the number of self-intersections of a symmetric random walk with finite second moments in the integer planar lattice. We obtain moderate deviation estimates for B_n - E B_n and E B_n- B_n, which are given in terms of the best constant of a certain Gagliardo-Nirenberg inequality. We also prove the corresponding laws of the iterated logarithm.
dc.identifierhttps://arxiv.org/abs/math/0506414
dc.identifierhttp://arxiv.org/abs/math/0506414
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75541
dc.subjectProbability
dc.subject60J55
dc.titleModerate deviations and laws of the iterated logarithm for the renormalized self-intersection local times of planar random walks
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