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

Autor:	Ures, Raul, Viana, Marcelo, Yang, Fan, Yang, Jiagang
Rok vydání:	2020
Předmět:	Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2011.02637 Zobrazit plný text záznamu View this record from Arxiv