5 citations · 9 across the 8 of their papers we have counts for
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Center manifolds for Random Dynamical Systems with generalized trichotomies
António J. G. Bento, Helder Vilarinho
For small perturbations of linear Random Dynamical Systems evolving on a Banach space and exhibiting a generalized form of trichotomy, we prove the existence of invariant center ma…
Decay of Correlations via induced Weak Gibbs Markov maps for non-Hölder observables
Asad Ullah, Helder Vilarinho
We obtain estimates on the decay of correlations, Central Limit Theorem and Large Deviations for dynamical systems admitting an induced weak Gibbs--Markov map, for larger classes o…
Statistical properties of dynamical systems via induced weak Gibbs Markov maps
Asad Ullah, Helder Vilarinho
In this article, we address the decay of correlations for dynamical systems that admit an induced weak Gibbs Markov map (not necessarily full branch). Our approach generalizes L.-S…
Invariant manifolds for Random Dynamical Systems on Banach Spaces exhibiting generalized dichotomies
António J. G. Bento, Helder Vilarinho
We prove the existence of measurable invariant manifolds for small perturbations of linear Random Dynamical Systems evolving on a Banach space and admitting a general type of dicho…
On the liftability of expanding stationary measures
Jose F. Alves, Carla L. Dias, Helder Vilarinho
We consider random perturbations of a topologically transitive local diffeomorphism of a Riemannian manifold. We show that if an absolutely continuous ergodic stationary measures i…
Almost sure mixing rates for non-uniformly expanding maps
Xin Li, Helder Vilarinho
We consider random perturbations of non-uniformly expanding maps, possibly having a non-degenerate critical set. We prove that, if the Lebesgue measure of the set of points failing…
Statistical Stability for Multi-Substitution Tiling Spaces
Rui Pacheco, Helder Vilarinho
Given a finite set of substitution maps acting on a certain finite number (up to translations) of tiles in $\rd$, we consider the multi-substitution tiling space ass…
Metrics on tiling spaces, local isomorphism and an application of Brown's Lemma
Rui Pacheco, Helder Vilarinho
We give an application of a topological dynamics version of multidimensional Brown's lemma to tiling theory: given a tiling of an Euclidean space and a finite geometric pattern of…
Strong stochastic stability for non-uniformly expanding maps
Jose F. Alves, Helder Vilarinho
We consider random perturbations of discrete-time dynamical systems. We give sufficient conditions for the stochastic stability of certain classes of maps, in a strong sense. This…