Intrinsic ergodicity of partially hyperbolic diffeomorphisms with a hyperbolic linear part
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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 $\mu$.References
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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
- 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
- © Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 140 (2012), 1973-1985
- MSC (2010): Primary 37D30; Secondary 37D25, 37D35
- DOI: https://doi.org/10.1090/S0002-9939-2011-11040-2
- MathSciNet review: 2888185