SRB measures for partially hyperbolic systems whose central direction is mostly expanding

• Tipo: Artigo em Revista Científica Internacional
• Data: 2000

Autores

alves, jf (Autor) FCUP; bonatti, c (Autor) Outra; viana, m (Autor) Outra

Revista

Título: Inventiones Mathematicae

Vol. 140

Páginas: 351-398

ISSN: 0020-9910

Editora: Springer Nature

Indexação

ISI Web of Knowledge - 222 Citações

Scopus - 221 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: P-001-05V

DOI: 10.1007/s002220000057

Abstract (EN): We construct Sinai-Ruelle-Bowen (SRB) measures supported on partially hyperbolic sets of diffeomorphisms - the tangent bundle splits into two invariant subbundles, one of which is uniformly contracting - under the assumption that the complementary subbundle is non-uniformly expanding, If the rate of expansion (Lyapunov exponents) is bounded away from zero, then there are only finitely many SRB measures. Our techniques extend to other situations, including certain maps with singularities or critical points, as well as diffeomorphisms having only a dominated splitting (and no uniformly hyperbolic subbundle).

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 48