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Teoriya Veroyatnostei i ee Primeneniya, 1995, Volume 40, Issue 1, Pages 175–177 (Mi tvp3299)  
Short Communications

On time dependency in a simple random walk

V. I. Kabanovich

Dorodnitsyn Computing Centre of the Russian Academy of Sciences
Full-text PDF (187 kB)
Abstract: It is shown that the set of integer points visited by a one-dimensional simple random walk only once in $t$ steps contains points which do not belong to the boundary of all visited points with probability behaving like $\sim 2/\log t$ as $t\to\infty$.
Keywords: simple random walk, generating functions.
Received: 25.02.1992
Revised: 04.12.1992
English version:
Theory of Probability and its Applications, 1995, Volume 40, Issue 1, Pages 156–158
DOI: https://doi.org/10.1137/1140013
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. I. Kabanovich, “On time dependency in a simple random walk”, Teor. Veroyatnost. i Primenen., 40:1 (1995), 175–177; Theory Probab. Appl., 40:1 (1995), 156–158
Citation in format AMSBIB
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\issue 1
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\transl
\jour Theory Probab. Appl.
\yr 1995
\vol 40
\issue 1
\pages 156--158
\crossref{https://doi.org/10.1137/1140013}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1996UH07100013}
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