4 papers
Decay of Correlations for Partially Hyperbolic Skew-Products
José F. Alves, Wael Bahsoun
We develop a technique based on sectional transfer operators and the regularity of their fixed points to study rates of correlation decay for partially hyperbolic skew-products. To…
Linear response for skew-product maps with contracting fibres
José F. Alves, Wael Bahsoun
We study linear response for families of skew-product dynamical systems with contracting fibres. Our approach is based on a sectional transfer operator acting on families of probab…
Young structures for partially hyperbolic systems with mostly contracting central direction
José F. Alves, João S. Matias
We establish the existence of Young structures for a broad class of partially hyperbolic diffeomorphisms with a splitting , under exactly the same condit…
Modulus of continuity of invariant densities and entropies for piecewise expanding maps
José F. Alves, Odaudu Etubi
Using a perturbation result established by Galatolo and Lucena, we obtain quantitative estimates on the continuity of the invariant densities and entropies of the physical measures…