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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
Posted: October 7, 2011
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Abstract: We prove that any (absolutely) partially hyperbolic diffeomorphism of $\mathbb{T}^3$ homotopic to a hyperbolic automorphism is intrinsically ergodic; that is, it has a unique entropy maximizing measure $\mu$ .

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