63 citations · 208 across the 40 of their papers we have counts for
45 papers
Martingale Methods for Maximal Large Deviations and Young Towers
José F. Alves, João S. Matias, Ian Melbourne
We develop a martingale approximation framework yielding quantitative maximal large deviations estimates for invertible dynamical systems. From suitable decay of correlations, we d…
Impulsive Lorenz semiflows: Physical measures, statistical stability and entropy stability
José F. Alves, Wael Bahsoun
We study semiflows generated via impulsive perturbations of Lorenz flows. We prove that such semiflows admit a finite number of physical measures. Moreover, if the impulsive pertur…
From decay of correlations to recurrence times in systems with contracting directions
José F. Alves, João S. Matias
Classic results by L.-S. Young show that the decay of correlations for systems that admit inducing schemes can be obtained through the recurrence rates of the inducing scheme. Reci…
Statistical stability of interval maps with critical points and singularities
Jose F. Alves, Dalmi Gama, Stefano Luzzatto
We prove strong statistical stability of a large class of one-dimensional maps which may have an arbitrary finite number of discontinuities and of non-degenerate critical points an…
Quenched decay of correlations for nonuniformly hyperbolic random maps with an ergodic driving system
José F. Alves, Wael Bahsoun, Marks Ruziboev +1
In this article we study random tower maps driven by an ergodic automorphism. We prove quenched exponential correlations decay for tower maps admitting exponential tails. Our techn…
Entropy formula for systems with inducing schemes
Jose F. Alves, David Mesquita
We obtain entropy formulas for SRB measures with finite entropy given by inducing schemes. In the first part of the work, we obtain Pesin entropy formula for the class of noninvert…