Livsic Regularity For Markov Systems

Details Livsic Regularity For Markov Systems Livsic Regularity For Markov Systems

2005-03-29

arxiv.org/abs/math/0503690v2

Mathematics

Dynamical Systems

35 pages, To be published in Ergodic Theory and Dynamical Systems

Scientific paper

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.

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