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Moscow Mathematical Journal, 2016, Volume 16, Number 2, Pages 381–391
DOI: https://doi.org/10.17323/1609-4514-2016-16-2-381-391 (Mi mmj604) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On cohomological equations for suspension flows over Vershik automorphisms

Dmitry Zubov

Steklov Mathematical Institute of Russian Academy of Sciences, Gubkina str. 8, 119991, Moscow
Citations (4)
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DOI: https://doi.org/10.17323/1609-4514-2016-16-2-381-391
Abstract: In this paper we give sufficient conditions for existence of bounded solution of the cohomological equation for suspension flows over automorphisms of Markov compacta in terms of finitely additive measures, which were introduced by Bufetov. This result can be regarded as a symbolic analogue of results due to Forni and Marmi, Moussa, and Yoccoz for translation flows and interval exchange transformations.
Key words and phrases: Vershik automorphisms, cohomological equations, renormalization, finitely additive invariant measures, rate of convergence in the ergodic theorem, translation flows, interval exchange transformations.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work is performed in Steklov Mathematical Institute of Russian Academy of Sciences and supported by the Russian Science Foundation under grant 14-50-00005.
Received: October 29, 2014; in revised form September 18, 2015
Bibliographic databases:
Document Type: Article
MSC: Primary 37A20; Secondary 37A05, 37B10, 37E05, 37E35, 37H15
Language: English
Citation: Dmitry Zubov, “On cohomological equations for suspension flows over Vershik automorphisms”, Mosc. Math. J., 16:2 (2016), 381–391
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
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