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Cocycles and stable foliations of Axiom A flows

Published online by Cambridge University Press:  04 June 2001

YVES COUDENE
YVES COUDENE
Affiliation:
CMAT, Ecole Polytechnique, Palaiseau 91128 cedex, France (e-mail: [email protected])
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Abstract

We show that the strong stable foliation of the canonical extension of an Axiom A flow to an Abelian cover of a compact manifold is ergodic with respect to the product of a Gibbs measure on the manifold times the Haar measure on the fiber, as soon as it is transitive on the support of the measure. This generalizes previous results of M. Babillot, F. Ledrappier, M. Pollicott and V. Kaimanovich.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 21 , Issue 3 , June 2001 , pp. 767 - 775
Copyright
2001 Cambridge University Press

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