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Israel Journal of Mathematics

, Volume 219, Issue 1, pp 171–188 | Cite as

Disintegration of invariant measures for hyperbolic skew products

  • Oliver Butterley
  • Ian Melbourne
Article

Abstract

We study hyperbolic skew products and the disintegration of the SRB measure into measures supported on local stable manifolds. Such a disintegration gives a method for passing from an observable v on the skew product to an observable \(\overline v \) on the system quotiented along stable manifolds. Under mild assumptions on the system we prove that the disintegration preserves the smoothness of v, first in the case where v is Hölder and second in the case where v is \({\mathcal{C}^1}\) .

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Copyright information

© Hebrew University of Jerusalem 2017

Authors and Affiliations

  1. 1.Fakultät für MathematikUniversität WienWienAustria
  2. 2.Mathematics InstituteUniversity of WarwickCoventryUK

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