Thermodynamical $u$-formalism I: measures of maximal $u$-entropy for maps that factor over Anosov
Dynamical Systems
2020-11-06 v1
Abstract
We construct measures of maximal -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.
Keywords
Cite
@article{arxiv.2011.02637,
title = {Thermodynamical $u$-formalism I: measures of maximal $u$-entropy for maps that factor over Anosov},
author = {Raul Ures and Marcelo Viana and Fan Yang and Jiagang Yang},
journal= {arXiv preprint arXiv:2011.02637},
year = {2020}
}