3 citations · 4 across the 7 of their papers we have counts for
7 papers
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…
On the stability of
Mario Bessa, Helder Vilarinho
Our main goal is to understand the stability of second order linear homogeneous differential equations for -generic values of the variabl…
Simple Lyapunov spectrum for linear homogeneous differential equations with Lp parameters
Dinis Amaro, Mario Bessa, Helder Vilarinho
In the present paper we prove that densely, with respect to an -like topology, the Lyapunov exponents associated to linear continuous-time cocycles $Φ:\mathbb{R}\times M\to \t…
Genericity of trivial Lyapunov spectrum for Lp-cocycles derived from second order linear homogeneous differential equations
Dinis Amaro, Mario Bessa, Helder Vilarinho
Given an ergodic flow defined on a probability space we study a family of continuous-time kinetic linear cocycles associated to the solutions of the…
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…
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…