Geodesic
On the distribution of the crossing number of a strip by trajectories of a stochastic process with independent increments
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 20 (2023) no. 2, pp. 1013-1025

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We study the distribution of the crossing number of a strip with straight parallel boundaries by trajectories of a stochastic process with independent increments (Levy process). For the distribution under study, we give a number of inequalities, as well as asymptotic representations for unlimitedly expanding strip.
Keywords: stationary stochastic process with independent increments (Levy process), number of strip crossings, probabilistic inequalities. 
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     title = {On the distribution of the crossing number of a strip by trajectories of a stochastic process with independent increments},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
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V. I. Lotov; V. R. Khodjibaev. On the distribution of the crossing number of a strip by trajectories of a stochastic process with independent increments. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 20 (2023) no. 2, pp. 1013-1025. http://geodesic.mathdoc.fr/item/SEMR_2023_20_2_a30/