Gibbs measures for partially hyperbolic attractors

Ya B. Pesin; Ya G. Sinai

doi:10.1017/S014338570000170X

Gibbs measures for partially hyperbolic attractors

Ya B. Pesin, Ya G. Sinai

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

148 Scopus citations

Abstract

We consider iterates of absolutely continuous measures concentrated in a neighbourhood of a partially hyperbolic attractor. It is shown that limit points can be measures which have conditional measures of a special form for any partition into subsets of unstable manifolds.

Original language	English (US)
Pages (from-to)	417-438
Number of pages	22
Journal	Ergodic Theory and Dynamical Systems
Volume	2
Issue number	3-4
DOIs	https://doi.org/10.1017/S014338570000170X
State	Published - Dec 1982

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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title = "Gibbs measures for partially hyperbolic attractors",

abstract = "We consider iterates of absolutely continuous measures concentrated in a neighbourhood of a partially hyperbolic attractor. It is shown that limit points can be measures which have conditional measures of a special form for any partition into subsets of unstable manifolds.",

author = "Pesin, \{Ya B.\} and Sinai, \{Ya G.\}",

year = "1982",

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AU - Pesin, Ya B.

AU - Sinai, Ya G.

PY - 1982/12

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N2 - We consider iterates of absolutely continuous measures concentrated in a neighbourhood of a partially hyperbolic attractor. It is shown that limit points can be measures which have conditional measures of a special form for any partition into subsets of unstable manifolds.

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DO - 10.1017/S014338570000170X

M3 - Article

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JO - Ergodic Theory and Dynamical Systems

JF - Ergodic Theory and Dynamical Systems

IS - 3-4

ER -

Gibbs measures for partially hyperbolic attractors

Abstract

All Science Journal Classification (ASJC) codes

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