Rate of growth of a transient cookie random walk

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dc.creatorBasdevant, Anne-Laure
dc.creatorSingh, Arvind
dc.date2007-03-09
dc.date.accessioned2026-07-07T07:51:12Z
dc.date.available2026-07-07T07:51:12Z
dc.descriptionWe consider a one-dimensional transient cookie random walk. It is known from a previous paper that a cookie random walk $(X_n)$ has positive or zero speed according to some positive parameter $α>1$ or $\le 1$. In this article, we give the exact rate of growth of $(X_n)$ in the zero speed regime, namely: for $0<α<1$, $X_n/n^{\frac{α+1}{2}}$ converges in law to a Mittag-Leffler distribution whereas for $α=1$, $X_n(\log n)/n$ converges in probability to some positive constant.
dc.identifierhttps://arxiv.org/abs/math/0703275
dc.identifierhttp://arxiv.org/abs/math/0703275
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125426
dc.subjectProbability
dc.subject60K35, 60J80, 60F05
dc.titleRate of growth of a transient cookie random walk
dc.typetext

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