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Gibbs measures for partially hyperbolic attractors

Published online by Cambridge University Press:  19 September 2008

Ya. B. Pesin  and
Ya. G. Sinai
Ya. B. Pesin
Affiliation:
L. D. Landau Institute for Theoretical Physics, Academy of Sciences of the USSR, 142432 Chemogolovka, Moscow Region, USSR
Ya. G. Sinai
Affiliation:
L. D. Landau Institute for Theoretical Physics, Academy of Sciences of the USSR, 142432 Chemogolovka, Moscow Region, USSR
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Abstract

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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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 2 , Issue 3-4 , December 1982 , pp. 417 - 438
Copyright
Copyright © Cambridge University Press 1982

References

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