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

^*Corresponding author for this work

Mathematics

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

49 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

Keywords

Accessibility
Lyapunov exponents
Partial hyperbolicity
Stable ergodicity

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1023/A:1019779128351

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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.",

keywords = "Accessibility, Lyapunov exponents, Partial hyperbolicity, Stable ergodicity",

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. Copyright: Copyright 2008 Elsevier B.V., All rights reserved.",

year = "2002",

doi = "10.1023/A:1019779128351",

language = "English (US)",

volume = "108",

pages = "927--942",

journal = "Journal of Statistical Physics",

issn = "0022-4715",

publisher = "Springer",

number = "5-6",

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TY - JOUR

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. Copyright: Copyright 2008 Elsevier B.V., All rights reserved.

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.

KW - Accessibility

KW - Lyapunov exponents

KW - Partial hyperbolicity

KW - Stable ergodicity

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U2 - 10.1023/A:1019779128351

DO - 10.1023/A:1019779128351

M3 - Article

AN - SCOPUS:0141673283

SN - 0022-4715

VL - 108

SP - 927

EP - 942

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 5-6

ER -

Partial hyperbolicity, Lyapunov exponents and stable ergodicity

Abstract

Keywords

ASJC Scopus subject areas

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