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${C}^{r} $ surface diffeomorphisms with no maximal entropy measure

Published online by Cambridge University Press:  05 July 2013

JÉRÔME BUZZI
JÉRÔME BUZZI*
Affiliation:
C.N.R.S. & Département de Mathématiques, Université Paris-Sud, 91405 Orsay, France email jerome.buzzi@math.u-psud.fr
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Abstract

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For any $1\leq r\lt \infty $, we build on the disk, and therefore on any manifold, a ${C}^{r} $-diffeomorphism with no measure of maximal entropy.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 34 , Issue 6 , December 2014 , pp. 1770 - 1793
Copyright
© Cambridge University Press, 2013 

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