Livsic Regularity For Markov Systems

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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 nonuniformly hyperbolic systems. We consider both Holder cocycles and cocycles with singularities of prescribed order.
35 pages, To be published in Ergodic Theory and Dynamical Systems

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Dynamical Systems, 37A29 (Primary) 37C15, 37D25 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/74720

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0503690
 http://arxiv.org/abs/math/0503690

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arXiv