Abstract
AbstractWe 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 finite dimension, and its extreme points are ergodic measures with pairwise disjoint supports.
Funder
Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro
National Natural Science Foundation of China
Conselho Nacional de Desenvolvimento Científico e Tecnológico
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,General Mathematics