2 citations · 4 across the 4 of their papers we have counts for
6 papers
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…
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…
The Gauss map on a class of interval translation mappings
H. Bruin, S. Troubetzkoy
We study the dynamics of a class of interval translation map on three intervals. We show that in this class the typical ITM is of finite type (reduce to an interval exchange transf…
Decay of correlations in one-dimensional dynamics
Henk Bruin, Stefano Luzzatto, Sebastian van Strien
We consider multimodal C^3 interval maps f satisfying a summability condition on the derivatives D_n along the critical orbits which implies the existence of an absolutely continuo…
Return time statistics via inducing
Henk Bruin, Benoit Saussol, Serge Troubetzkoy +1
We prove that return time statistics of a dynamical system do not change if one passes to an induced (i.e. first return) map. We apply this to show exponential return time statisti…
Homeomorphic restrictions of unimodal maps
Henk Bruin
Examples are given of tent maps for which there exist non-trivial sets such that is a homeomorphism.