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math.DS2005★ 2 cited
Markov extensions and lifting measures for complex polynomials
Henk Bruin, Mike Todd
For polynomials on the complex plane with a dendrite Julia set we study invariant probability measures, obtained from a reference measure. To do this we follow Keller in constr…
math.DS2005
Livsic Regularity For Markov Systems
Henk Bruin, Mark Holland, Matthew Nicol
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 mappin…