Approximation of Bernoulli measures for non-uniformly hyperbolic systems

Autor(es)

Liao, Gang ^[1] ; Sun, Wenxiang ^[2] ; Vargas, Edson ^[3] ; Wang, Shirou ^{[4, 5]}

Afiliação do(s) autor(es)

^[1] Soochow Univ, Sch Math Sci, Suzhou 215006 - Peoples R China

^[2] Peking Univ, Sch Math Sci, Beijing 100871 - Peoples R China

^[3] Univ Sao Paulo, Inst Matemat & Estat, Rua Matao 1010, BR-05508090 Sao Paulo, SP - Brazil

^[4] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1 - Canada

^[5] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190 - Peoples R China

• Tipo de documento: Artigo Científico
• Fonte: Ergodic Theory and Dynamical Systems; v. 40, n. 1, p. 233-247, JAN 2020.
• Citações Web of Science: 0

Resumo

An invariant measure is called a Bernoulli measure if the corresponding dynamics is isomorphic to a Bernoulli shift. We prove that for C1+alpha diffeomorphisms any weak mixing hyperbolic measure could be approximated by Bernoulli measures. This also holds true for C-1 diffeomorphisms preserving a weak mixing hyperbolic measure with respect to which the Oseledets decomposition is dominated. (AU)

• Processo FAPESP: 15/20162-0 - Aproximação de medidas hiperbólicas por medidas de Bernoulli
• Beneficiário: Edson Vargas
• Linha de fomento: Auxílio à Pesquisa - Pesquisador Visitante - Internacional