A Note on the Distribution of the Number of Crossings of a Strip by a Random Walk

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.