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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

   

 

Intrinsic ergodicity of partially hyperbolic diffeomorphisms with a hyperbolic linear part


Author: Raúl Ures
Journal: Proc. Amer. Math. Soc. 140 (2012), 1973-1985
MSC (2010): Primary 37D30; Secondary 37D25, 37D35
Published electronically: October 7, 2011
MathSciNet review: 2888185
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Abstract: We prove that any (absolutely) partially hyperbolic diffeomorphism $ f$ of $ \mathbb{T}^3$ homotopic to a hyperbolic automorphism $ A$ is intrinsically ergodic; that is, it has a unique entropy maximizing measure $ \mu $.


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Additional Information

Raúl Ures
Affiliation: IMERL-Facultad de Ingeniería, Universidad de la República, CC 30 Montevideo, Uruguay
Email: ures@fing.edu.uy

DOI: http://dx.doi.org/10.1090/S0002-9939-2011-11040-2
Received by editor(s): October 31, 2010
Received by editor(s) in revised form: February 1, 2011
Published electronically: October 7, 2011
Communicated by: Bryna Kra
Article copyright: © Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.