Livsic Regularity For Markov Systems
arXiv:math/0503690
Abstract
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