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.
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.
|Divisions :||Faculty of Engineering and Physical Sciences > Mathematics|
|Date :||1 December 2005|
|Identification Number :||10.1017/S0143385705000179|
|Uncontrolled Keywords :||Livšic theorems, dynamical systems, Markov towers|
|Additional Information :||Ergodic Theory & Dynamical Systems, 25,1739-1766 © 2005 Cambridge University Press. Reprinted with permission.|
|Depositing User :||Mr Adam Field|
|Date Deposited :||27 May 2010 14:41|
|Last Modified :||23 Sep 2013 18:33|
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