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Sibirskii Matematicheskii Zhurnal, 2013, Volume 54, Number 2, Pages 347–354 (Mi smj2426)  
This article is cited in 2 scientific papers (total in 2 papers)

On the limit behavior of the distribution of the crossing number of a strip by sample paths of a random walk

V. I. Lotovab

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (269 kB) Citations (2)
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Abstract: We find asymptotic representations for the distribution of the crossing number of an expanding strip by sample paths of a random walk in the case when the crossing number is finite with probability 1. The results are obtained under various restrictions on the rate of decrease at infinity for the distribution tails.
Keywords: random walk, crossing number of a strip, asymptotic analysis.
Received: 05.07.2012
English version:
Siberian Mathematical Journal, 2013, Volume 54, Issue 2, Pages 265–270
DOI: https://doi.org/10.1134/S0037446613020110
Bibliographic databases:
Document Type: Article
UDC: 519.21
Language: Russian
Citation: V. I. Lotov, “On the limit behavior of the distribution of the crossing number of a strip by sample paths of a random walk”, Sibirsk. Mat. Zh., 54:2 (2013), 347–354; Siberian Math. J., 54:2 (2013), 265–270
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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