2 papers
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…
math.DS2004
Topological invariance of the sign of the Lyapunov exponents in one-dimensional maps
Henk Bruin, Stefano Luzzatto
We explore some properties of Lyapunov exponents of measures preserved by smooth maps of the interval, and study the behaviour of the Lyapunov exponents under topological conjugacy…