Cohomological equations for suspension flows over Vershik automorphisms
Dynamical Systems
2015-04-14 v2
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.
Keywords
Cite
@article{arxiv.1503.03425,
title = {Cohomological equations for suspension flows over Vershik automorphisms},
author = {Dmitry Zubov},
journal= {arXiv preprint arXiv:1503.03425},
year = {2015}
}
Comments
10 pp. Comments are welcome! ver.2: small corrections are made