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arXiv · 2011.02637

Thermodynamical $u$-formalism I: measures of maximal $u$-entropy for maps that factor over Anosov

Raul Ures·Marcelo Viana·Fan Yang·Jiagang Yang
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Abstract

We construct measures of maximal $u$-entropy for any partially hyperbolic diffeomorphism that factors over an Anosov torus automorphism and has mostly contracting center direction. The space of such measures has a finite dimension, and its extreme points are ergodic measures with pairwise disjoint supports.

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Raul Ures, Marcelo Viana, Fan Yang, Jiagang Yang. 2020-11-05. Thermodynamical $u$-formalism I: measures of maximal $u$-entropy for maps that factor over Anosov. https://arxiv.org/abs/2011.02637

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