A note on recurrent random walks

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dc.creatorCheliotis, Dimitrios
dc.date2006-10-02
dc.date.accessioned2026-07-07T07:28:35Z
dc.date.available2026-07-07T07:28:35Z
dc.descriptionFor any recurrent random walk (S_n)_{n>0} on R, there are increasing sequences (g_n)_{n>0} converging to infinity for which (g_n S_n)_{n>0} has at least one finite accumulation point. For one class of random walks, we give a criterion on (g_n)_{n>0} and the distribution of S_1 determining the set of accumulation points for (g_n S_n)_{n>0}. This extends, with a simpler proof, a result of K.L. Chung and P. Erdos. Finally, for recurrent, symmetric random walks, we give a criterion characterizing the increasing sequences (g_n)_{n>0} of positive numbers for which liminf g_n|S_n|=0.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/math/0610056
dc.identifierhttp://arxiv.org/abs/math/0610056
dc.identifierStatistics and Probability Letters 76 (2006) 1025-1031
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/117784
dc.subjectProbability
dc.subject60F99
dc.titleA note on recurrent random walks
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