Partial hyperbolicity, Lyapunov exponents and stable ergodicity

K. Burns; D. Dolgopyat; Ya Pesin

doi:10.1023/A:1019779128351

Partial hyperbolicity, Lyapunov exponents and stable ergodicity

K. Burns, D. Dolgopyat, Ya Pesin

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

50 Scopus citations

Abstract

We present some results and open problems about stable ergodicity of partially hyperbolic diffeomorphisms with non-zero Lyapunov exponents. The main tool is local ergodicity theory for non-uniformly hyperbolic systems.

Original language	English (US)
Pages (from-to)	927-942
Number of pages	16
Journal	Journal of Statistical Physics
Volume	108
Issue number	5-6
DOIs	https://doi.org/10.1023/A:1019779128351
State	Published - 2002

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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title = "Partial hyperbolicity, Lyapunov exponents and stable ergodicity",

abstract = "We present some results and open problems about stable ergodicity of partially hyperbolic diffeomorphisms with non-zero Lyapunov exponents. The main tool is local ergodicity theory for non-uniformly hyperbolic systems.",

author = "K. Burns and D. Dolgopyat and Ya Pesin",

note = "Funding Information: K.B. is partially supported by NSF Grant DMS-0100416; D.D. is partially supported by NSF Grant DMS-0072623 and the Sloan Foundation; Ya.P. is partially supported by NSF Grant DMS-0088971.",

year = "2002",

doi = "10.1023/A:1019779128351",

language = "English (US)",

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issn = "0022-4715",

publisher = "Springer New York",

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T1 - Partial hyperbolicity, Lyapunov exponents and stable ergodicity

AU - Burns, K.

AU - Dolgopyat, D.

AU - Pesin, Ya

N1 - Funding Information: K.B. is partially supported by NSF Grant DMS-0100416; D.D. is partially supported by NSF Grant DMS-0072623 and the Sloan Foundation; Ya.P. is partially supported by NSF Grant DMS-0088971.

PY - 2002

Y1 - 2002

N2 - We present some results and open problems about stable ergodicity of partially hyperbolic diffeomorphisms with non-zero Lyapunov exponents. The main tool is local ergodicity theory for non-uniformly hyperbolic systems.

AB - We present some results and open problems about stable ergodicity of partially hyperbolic diffeomorphisms with non-zero Lyapunov exponents. The main tool is local ergodicity theory for non-uniformly hyperbolic systems.

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DO - 10.1023/A:1019779128351

M3 - Article

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JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

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Partial hyperbolicity, Lyapunov exponents and stable ergodicity

Abstract

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