6 citations · 11 across the 7 of their papers we have counts for
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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…
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…
Random Expansive Measures
Rafael A. Bilbao, Marlon Oliveira, Eduardo Santana
The notion of expansivity and its generalizations (measure expansive, measure positively expansive, continuum-wise expansive, countably-expansive) are well known for deterministic…
Expanding measure has nonuniform specification property on random dynamical system
Rafael A. Bilbao
In the present paper, we study the distribution of the return points in the fibers for a RDS (random dynamical systems) nonuniformly expanding preserving an ergodic probability, we…
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…
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…