Intrinsic ergodicity of partially hyperbolic diffeomorphisms with a hyperbolic linear part

Raúl Ures

Source record

Source: Crossref

Published: Oct 7, 2011

DOI: 10.1090/s0002-9939-2011-11040-2

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Source abstract

We prove that any (absolutely) partially hyperbolic diffeomorphism f f of T 3 \mathbb {T}^3 homotopic to a hyperbolic automorphism A A is intrinsically ergodic; that is, it has a unique entropy maximizing measure μ \mu .

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