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arXiv · 1503.03425

Cohomological equations for suspension flows over Vershik automorphisms

Dmitry Zubov
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Abstract

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.

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Dmitry Zubov. 2015-03-11. Cohomological equations for suspension flows over Vershik automorphisms. https://arxiv.org/abs/1503.03425

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