Thermodynamical <i>u</i>-formalism I: measures of maximal <i>u</i>-entropy for maps that factor over Anosov-Reference-Cited by-同舟云学术

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

Published:2023-02-27 Issue:1 Volume:44 Page:290-333
ISSN:0143-3857
Container-title:Ergodic Theory and Dynamical Systems
language:en
Short-container-title:Ergod. Th. Dynam. Sys.

Author:

URES RAUL^ORCID,VIANA MARCELO^ORCID,YANG FAN^ORCID,YANG JIAGANG^ORCID

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

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