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Working paper

On cohomological equations for suspension flows over Vershik automorphisms

Zubov D.
In this paper we give sufficient conditions for existence of bounded solution of cohomological equation for suspension flows over automorphisms of Markov compacta . These conditions are described in terms of finitely-additive measures, which were introduced in works of Bufetov. The result of this paper can be regarded as a symbolic analogue of results due to Forni and Marmi-Moussa-Yoccoz for translation flows and interval exchange transformations