A Central Limit Theorem for Convolution Equations and Weakly Self-Avoiding Walks

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dc.creatorBolthausen, Erwin
dc.creatorRitzmann, Christine
dc.date2001-03-30
dc.date2002-01-11
dc.date.accessioned2026-07-07T04:40:51Z
dc.date.available2026-07-07T04:40:51Z
dc.descriptionThe main result of this paper is a general central limit theorem for distributions defined by certain renewal type equations. We apply this to weakly self-avoiding random walks. We give good error estimates and Gaussian tail estimates which have not been obtained by other methods. We use the lace expansion and at the same time develop a new perspective on this method: We work with a fixed point argument directly in the x-space without using Laplace or Fourier transformation.
dc.description35 pages, LaTeX2e
dc.identifierhttps://arxiv.org/abs/math/0103218
dc.identifierhttp://arxiv.org/abs/math/0103218
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61175
dc.subjectProbability
dc.subjectMathematical Physics
dc.subject60K35;82B41
dc.titleA Central Limit Theorem for Convolution Equations and Weakly Self-Avoiding Walks
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