Geodesic
A Note on the Distribution of the Number of Crossings of a Strip by a Random Walk
Teoriâ veroâtnostej i ee primeneniâ, Tome 53 (2008) no. 2, pp. 345-349

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This paper is essentially an improved result from [V. I. Lotov and N. G. Orlova, Sb. Math., 194 (2003), pp. 927–939], where a formula was obtained for the distribution of the number of crossings of a strip by paths of a random walk defined by an infinite sequence of the partial sums of independent random variables having a common “two-sided geometric” distribution.
Keywords: random walk, partial sum process, Markovian property of jump. 
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I. S. Borisov. A Note on the Distribution of the Number of Crossings of a Strip by a Random Walk. Teoriâ veroâtnostej i ee primeneniâ, Tome 53 (2008) no. 2, pp. 345-349. http://geodesic.mathdoc.fr/item/TVP_2008_53_2_a7/