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arXiv:1407.1776 [math.DS]AbstractReferencesReviewsResources

Hölder regularity of the solutions of the cohomological equation for Roth type interval exchange maps

Stefano Marmi, Jean-Christophe Yoccoz

Published 2014-07-07Version 1

We prove that the solutions of the cohomological equation for Roth type interval exchange maps are H\"older continuous provided that the datum is of class $C^r$ with $r>1$ and belongs to a finite-codimension linear subspace.

Comments: 22 pages
Categories: math.DS
Subjects: 37C15, 37E05, 37J40, 11J70
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