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Stably ergodic diffeomorphisms which are not partially hyperbolic

Tahzibi, Ali

Israel journal of mathematics, 2004-01, Vol.142 (1), p.315-344 [Periódico revisado por pares]

Heidelberg: Springer Nature B.V

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  • Título:
    Stably ergodic diffeomorphisms which are not partially hyperbolic
  • Autor: Tahzibi, Ali
  • Assuntos: Ergodic processes ; Isomorphism ; Mathematics ; Perturbation
  • É parte de: Israel journal of mathematics, 2004-01, Vol.142 (1), p.315-344
  • Descrição: We show stable ergodicity of a class of conservative diffeomorphisms ofTn which do not have any hyperbolic invariant subbundle. Moreover, the uniqueness of SRB (Sinai-Ruelle-Bowen) measure for non-conservativeC1 perturbations of such diffeomorphisms is verified. This class strictly contains non-partially hyperbolic robustly transitive diffeomorphisms constructed by Bonatti-Viana [4] and so we answer the question posed there on the stable ergodicity of such systems.
  • Editor: Heidelberg: Springer Nature B.V
  • Idioma: Inglês

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