Stable ergodicity for partially hyperbolic attractors with positive central Lyapunov exponents

Carlos H. Vásquez

doi:10.3934/jmd.2009.3.233

Stable ergodicity for partially hyperbolic attractors with positive central Lyapunov exponents

Carlos H. Vásquez

INSTITUTE OF MATHEMATICS

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

We establish stable ergodicity for diffeomorphisms with partially hyperbolic attractors whose Lyapunov exponents along the center direction are all positive with respect to SRB measures.

Original language	English
Pages (from-to)	233-251
Number of pages	19
Journal	Journal of Modern Dynamics
Volume	3
Issue number	2
DOIs	https://doi.org/10.3934/jmd.2009.3.233
State	Published - 2009

Keywords

Lyapunov exponents
Partial hyperbolicity
SRB measures
Stable ergodicity

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10.3934/jmd.2009.3.233

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title = "Stable ergodicity for partially hyperbolic attractors with positive central Lyapunov exponents",

abstract = "We establish stable ergodicity for diffeomorphisms with partially hyperbolic attractors whose Lyapunov exponents along the center direction are all positive with respect to SRB measures.",

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year = "2009",

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AB - We establish stable ergodicity for diffeomorphisms with partially hyperbolic attractors whose Lyapunov exponents along the center direction are all positive with respect to SRB measures.

KW - Lyapunov exponents

KW - Partial hyperbolicity

KW - SRB measures

KW - Stable ergodicity

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JO - Journal of Modern Dynamics

JF - Journal of Modern Dynamics

IS - 2

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Stable ergodicity for partially hyperbolic attractors with positive central Lyapunov exponents

Abstract

Keywords

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