Intrinsic ergodicity of partially hyperbolic diffeomorphisms with a hyperbolic linear part

Ures, Raúl

doi:10.1090/S0002-9939-2011-11040-2

Intrinsic ergodicity of partially hyperbolic diffeomorphisms with a hyperbolic linear part
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Proc. Amer. Math. Soc. 140 (2012), 1973-1985 Request permission

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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