Livšic Regularity for Markov Systems

Bruin, Henk, Holland, Mark and Nicol, Matthew (2005) Livšic Regularity for Markov Systems Ergodic Theory and Dynamical Systems, 25 (06). pp. 1739-1766. ISSN 0143-3857

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Abstract

We prove measurable Livšic theorems for dynamical systems modelled by Markov towers. Our reguarlity results apply to solutions of cohomological equations posed on Hénon-like mappings and a wide variety of nonuniformly hyperbolic systems. We consider both Hölder cocycles and cocyles with singularities of prescribed order.

Item Type:	Article
Additional Information:	Ergodic Theory & Dynamical Systems, 25,1739-1766 © 2005 Cambridge University Press. Reprinted with permission.
Uncontrolled Keywords:	Livšic theorems, dynamical systems, Markov towers
Divisions:	Faculty of Engineering and Physical Sciences > Mathematics
Depositing User:	Mr Adam Field
Date Deposited:	27 May 2010 14:41
Last Modified:	23 Sep 2013 18:33
URI:	http://epubs.surrey.ac.uk/id/eprint/1474

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