On the number of ergodic measures of maximal entropy for partially hyperbolic diffeomorphisms with compact center leaves

Autor:	Rocha, Joas Elias, Tahzibi, Ali
Rok vydání:	2022
Předmět:	Mathematics::Dynamical Systems General Mathematics FOS: Mathematics SISTEMAS DINÂMICOS Dynamical Systems (math.DS) Mathematics - Dynamical Systems Mathematics::Symplectic Geometry
Zdroj:	Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual) Universidade de São Paulo (USP) instacron:USP
ISSN:	1432-1823 0025-5874
DOI:	10.1007/s00209-021-02925-1
Popis:	In this paper, we study the number of ergodic measures of maximal entropy for partially hyperbolic diffeomorphisms defined on $3-$torus with compact center leaves. Assuming the existence of a periodic leaf with Morse-Smale dynamics we prove a sharp upper bound for the number of maximal measures in terms of the number of sources and sinks of Morse-Smale dynamics. A well-known class of examples for which our results apply are the so-called Kan-type diffeomorphisms admitting physical measures with intermingled basins.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fbd86bc34f7bab1a3710c4341429837d https://doi.org/10.1007/s00209-021-02925-1 Zobrazit plný text záznamu Full text from SpringerLink