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A class of nonlinear processes admitting complete study

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Abstract

A sample of a nonlinear random walk on the discrete line ℤ is considered. It is shown that for some choice of parameters it possesses certain properties absent in the classic case. For example, it has a one-parametric family of invariant measures and a motion integral.

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119991, Russia

    S. A. Muzychka

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  1. S. A. Muzychka
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Correspondence to S. A. Muzychka.

Additional information

Original Russian Text © S. A. Muzychka, 2015, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2015, Vol. 70, No. 3, pp. 55–57.

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Muzychka, S.A. A class of nonlinear processes admitting complete study. Moscow Univ. Math. Bull. 70, 141–143 (2015). https://doi.org/10.3103/S0027132215030080

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  • DOI: https://doi.org/10.3103/S0027132215030080

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