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.
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