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Livsic Regularity for Markov Systems

Bruin, H, Holland, M and Nicol, M (2005) Livsic Regularity for Markov Systems Ergodic Theory and Dynamical Systems, 25 (06).


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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.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Holland, M
Nicol, M
Date : 1 January 2005
DOI : 10.1017/S0143385705000179
Additional Information : Published in <i>Ergodic Theory and Dynamical Systems,</i> Vol. 25, Pt. 6. Copyright 2005 Cambridge University Press. Click <a href=>here</a> to access the journal's website.
Depositing User : Mr Adam Field
Date Deposited : 27 May 2010 14:07
Last Modified : 31 Oct 2017 13:57

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