Livsic Regularity For Markov Systems
Dynamical Systems
2007-05-23 v2
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.
Cite
@article{arxiv.math/0503690,
title = {Livsic Regularity For Markov Systems},
author = {Henk Bruin and Mark Holland and Matthew Nicol},
journal= {arXiv preprint arXiv:math/0503690},
year = {2007}
}
Comments
35 pages, To be published in Ergodic Theory and Dynamical Systems