Topological entropy on points without physical-like behaviour

Autor(es)

Catsigeras, Eleonora ^[1] ; Tian, Xueting ^[2] ; Vargas, Edson ^[3]

Afiliação do(s) autor(es)

^[1] Univ Republica, IMERL, Fac Ingn, Montevideo - Uruguay

^[2] Fudan Univ, Sch Math Sci, Shanghai 200433 - Peoples R China

^[3] Univ Sao Paulo, Dept Matemat, IME, Sao Paulo - Brazil

• Tipo de documento: Artigo Científico
• Fonte: MATHEMATISCHE ZEITSCHRIFT; v. 293, n. 3-4, p. 1043-1055, DEC 2019.
• Citações Web of Science: 0

Resumo

For C-1 transitive Anosov diffeomorphisms, we consider the sets of irregular points without physical-like behaviour and regular points without physical-like behaviour respectively and show that they all carry full topological entropy. Roughly speaking, physical-like measures do not affect the dynamical complexity of the regular set and the irregular set in the sense of topological entropy. (AU)

• Processo FAPESP: 15/09133-9 - Expoentes de Lyapunov e conjuntos irregulares em dinâmica unimodal
• Beneficiário: Edson Vargas
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional