Hölder Regularity of the Solutions of the Cohomological Equation for Roth Type Interval Exchange Maps

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

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Bibliographic Details
Published in:Communications in mathematical physics 2016-05, Vol.344 (1), p.117-139
Main Authors: Marmi, Stefano, Yoccoz, Jean-Christophe
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Complex Systems
Mathematical and Computational Physics
Mathematical Physics
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Theoretical
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Description
Summary:We prove that the solutions of the cohomological equation for Roth type interval exchange maps are Hölder continuous provided that the datum is of class C r with r > 1 and belongs to a finite-codimension linear subspace.
ISSN:0010-3616
1432-0916
DOI:10.1007/s00220-016-2624-9