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Poisson random walks with alternating jumps and Newtonian mechanics. (English. Russian original) Zbl 1379.60049

J. Math. Sci., New York 227, No. 2, 169-175 (2017); translation from Statisticheskie Metody Otsenivaniya i Proverki Gipotez 21, 224-233 (2008).
Summary: We define a number of schemes for random walks having a common geometric structure and being the generalizations of a Poisson random walk. One of the schemes uses the laws of Newtonian mechanics to define the transition probabilities.

MSC:

60G50 Sums of independent random variables; random walks
60J28 Applications of continuous-time Markov processes on discrete state spaces
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References:

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