20 citations · 30 across the 9 of their papers we have counts for
9 papers
Stability and limit theorems in random dynamical systems
Davi Lima, Rafael Lucena
The robust statistical description of dynamical systems under perturbations is a central problem in ergodic theory. In this paper, we investigate the statistical properties of skew…
Limit Theorems and Quantitative Statistical Stability for the Equilibrium States of Piecewise Partially Hyperbolic Maps
Rafael A. Bilbao, Rafael Lucena
This paper establishes limit theorems and quantitative statistical stability for a class of piecewise partially hyperbolic maps that are not necessarily continuous nor locally inve…
Statistical stability for systems semi-conjugate to pre-piecewise \textit{convex or expanding} maps with countably many branches
Rafael Lucena
We investigate the statistical stability of a class of dynamical systems semi-conjugate to pre-piecewise \textit{convex or expanding} maps with countably many branches. These syste…
Quasi-compactness and statistical properties for discontinuous systems semi-conjugate to piecewise convex maps with countably many branches
Rafael Lucena
In this paper, we establish the quasi-compactness of the transfer operator associated with skew product systems that are semi-conjugate to piecewise convex maps with a countably in…
Thermodynamic formalism for discontinuous maps and statistical properties of their equilibrium states
Rafael Bilbao, Rafael Lucena
In this article, we develop a functional-analytic framework to establish existence, uniqueness, regularity of disintegration, and statistical properties of equilibrium states for a…
Quantitative statistical stability for the equilibrium states of piecewise partially hyperbolic maps
Rafael Bilbao, Ricardo Bioni, Rafael Lucena
We consider a class of endomorphisms that contains a set of piecewise partially hyperbolic dynamics semi-conjugated to non-uniformly expanding maps. Our goal is to study a class of…
Lipschitz regularity of the invariant measure of random dynamical systems
Davi Lima, Rafael Lucena
In this article we derive a regularity result for the disintegration of the invariant measure associated to a class of Random Dynamical Systems - RDS. The results of this work are…
Hölder regularity and exponential decay of correlations for a class of piecewise partially hyperbolic maps
Rafael Bilbao, Ricardo Bioni, Rafael Lucena
We consider a class of endomorphisms which contains a set of piecewise partially hyperbolic skew-products with a non-uniformly expanding base map. The aimed transformation preserve…
Spectral gap and quantitative statistical stability for systems with contracting fibers and Lorenz-like maps
Stefano Galatolo, Rafael Lucena
We consider transformations preserving a contracting foliation, such that the associated quotient map satisfies a Lasota-Yorke inequality. We prove that the associated transfer ope…