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Livsic Regularity for Markov Systems

By H Bruin, M Holland and M Nicol

Abstract

<p>We prove measurable Livsic theorems for dynamical systems modelled by Markov towers. Our regularity results apply to solutions of cohomological equations posed on Henon-like mappings and a wide variety of non-uniformly hyperbolic systems. We consider both Holder cocycles and cocycles with singularities of prescribed order.</p

Year: 2005
DOI identifier: 10.1017/S0143385705000179
OAI identifier: oai:epubs.surrey.ac.uk:235

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