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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2021, Volume 497, Pages 7–11
DOI: https://doi.org/10.31857/S2686954321020077 (Mi danma162) 		 
This article is cited in 3 scientific papers (total in 3 papers)

MATHEMATICS

A method of defining central and Gibbs measures and the ergodic method

A. M. Vershikabc

a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
b Saint Petersburg State University, St. Petersburg, Russia
c Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow, Russia
Full-text PDF (90 kB) Citations (3)
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DOI: https://doi.org/10.31857/S2686954321020077
Abstract: We formulate a general statement of the problem of defining invariant measures with certain properties and suggest an ergodic method of perturbations for describing such measures.
Keywords: equivalence relation, cocycle, invariant measures, Markov chains, cotransitions.
Presented: V. V. Kozlov
Received: 02.02.2021
Revised: 02.02.2021
Accepted: 24.02.2021
English version:
Doklady Mathematics, 2021, Volume 103, Issue 2, Pages 72–75
DOI: https://doi.org/10.1134/S1064562421020071
Bibliographic databases:
Document Type: Article
UDC: 519.857
Language: Russian
Citation: A. M. Vershik, “A method of defining central and Gibbs measures and the ergodic method”, Dokl. RAN. Math. Inf. Proc. Upr., 497 (2021), 7–11; Dokl. Math., 103:2 (2021), 72–75
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
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    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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