American Institute of Mathematical Sciences

October  2005, 13(5): 1247-1256. doi: 10.3934/dcds.2005.13.1247

Local Hölder regularity of densities and Livsic theorems for non-uniformly hyperbolic diffeomorphisms

 1 Department of Mathematics, Warwick University, Coventry CV4 7AL, United Kingdom

Received  December 2004 Revised  June 2005 Published  September 2005

We consider the partial analogue of the usual measurable Livsic theorem for Anosov diffeomorphims in the context of non-uniformly hyperbolic diffeomorphisms (Theorem 2). Our main application of this theorem is to the density of absolutely continuous measures (Theorem 1).
Citation: Mark Pollicott. Local Hölder regularity of densities and Livsic theorems for non-uniformly hyperbolic diffeomorphisms. Discrete & Continuous Dynamical Systems - A, 2005, 13 (5) : 1247-1256. doi: 10.3934/dcds.2005.13.1247
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