Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2015, Number 3, Pages 55–57 (Mi vmumm240)  
This article is cited in 1 scientific paper (total in 1 paper)

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A class of nonlinear processes admitting complete study

S. A. Muzychka

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: A sample of a nonlinear random walk on the discrete line $\mathbb{Z}$ 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.
Key words: Markov chain, nonlinear Markov process, Kullback–Leibler divergence.
Received: 09.12.2013
English version:
Moscow University Mathematics Bulletin, 2015, Volume 70, Issue 3, Pages 141–143
DOI: https://doi.org/10.3103/S0027132215030080
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: S. A. Muzychka, “A class of nonlinear processes admitting complete study”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015, no. 3, 55–57; Moscow University Mathematics Bulletin, 70:3 (2015), 141–143
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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