Cohomological equations for suspension flows over Vershik automorphisms

In this paper we give sufficient conditions for existence of a solution of cohomological equation for suspension flows over automorphisms of Markov compacta, which were introduced by Vershik and Ito. The main result (Theorem 1) can be regarded as a symbolic analogue of results due to Forni and Marmi...

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Bibliographic Details
Main Author Zubov, Dmitry
Format Journal Article
LanguageEnglish
Published 11.03.2015
Subjects
Mathematics - Dynamical Systems
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Summary:In this paper we give sufficient conditions for existence of a solution of cohomological equation for suspension flows over automorphisms of Markov compacta, which were introduced by Vershik and Ito. The main result (Theorem 1) can be regarded as a symbolic analogue of results due to Forni and Marmi, Moussa and Yoccoz for translation flows and interval exchange transformations.
DOI:10.48550/arxiv.1503.03425