Add to ORKGWe consider finite families of SL(2,R) matrices whose products display uniform exponential growth. These form open subsets of (SL(2,R))N, and we study their components, boundary, and complement. We also consider the more general situation where the allowed products of matrices satisfy a Markovian rule
Let (ξj)j≥1 be a non-stationary Markov chain with phase space X and let gj:X↦SL(m,R) be a sequence o...
We give a characterization of tempered exponential dichotomies for linear cocycles over flows in ter...
We consider generalizations of Schuetzenberger's promotion operator on the set L of linear extension...
Abstract. Given a hyperbolic matrix H ∈ SL(2,R), we prove that for almost every R ∈ SL(2,R), any pro...
In this note we investigate the exponential growth of products of two matrices A,B ∈ SL(2,R). We pro...
Abstract. We consider some very simple examples of SL(2, R)-cocycles and prove that they have positi...
This article concerns the locus of locally constant SL(2,ℝ) -valued cocycles that have a dominated ...
We consider some very simple examples of SL(2; R)-cocycles and prove that they have positive Lyapuno...
In a paper by Avila, Bochi, Damanik (2009), the authors consider continuous SL(2,R)-cocycles which a...
We study products of random matrices in SL2(C) from the point of view of holomorphic dynamics. For n...
Abstract. We consider SL(2,R)-valued cocycles over rotations of the circle and prove that they are l...
We consider SL(2; R)-valued cocycles over rotations of the circle and prove that they are likely to ...
In this talk I will discuss the prevalence of exponential behavior (non-zero Lyapunov exponents) for...
AbstractConsider in this paper a linear skew-product system(θ,Θ):T×W×Rn→W×Rn;(t,w,x)↦(t⋅w,Θ(t,w)⋅x) ...
Dichotomies between uniform hyperbolicity and zero Lyapunov exponents for SL(2,R) cocycle
Let (ξj)j≥1 be a non-stationary Markov chain with phase space X and let gj:X↦SL(m,R) be a sequence o...
We give a characterization of tempered exponential dichotomies for linear cocycles over flows in ter...
We consider generalizations of Schuetzenberger's promotion operator on the set L of linear extension...
Abstract. Given a hyperbolic matrix H ∈ SL(2,R), we prove that for almost every R ∈ SL(2,R), any pro...
In this note we investigate the exponential growth of products of two matrices A,B ∈ SL(2,R). We pro...
Abstract. We consider some very simple examples of SL(2, R)-cocycles and prove that they have positi...
This article concerns the locus of locally constant SL(2,ℝ) -valued cocycles that have a dominated ...
We consider some very simple examples of SL(2; R)-cocycles and prove that they have positive Lyapuno...
In a paper by Avila, Bochi, Damanik (2009), the authors consider continuous SL(2,R)-cocycles which a...
We study products of random matrices in SL2(C) from the point of view of holomorphic dynamics. For n...
Abstract. We consider SL(2,R)-valued cocycles over rotations of the circle and prove that they are l...
We consider SL(2; R)-valued cocycles over rotations of the circle and prove that they are likely to ...
In this talk I will discuss the prevalence of exponential behavior (non-zero Lyapunov exponents) for...
AbstractConsider in this paper a linear skew-product system(θ,Θ):T×W×Rn→W×Rn;(t,w,x)↦(t⋅w,Θ(t,w)⋅x) ...
Dichotomies between uniform hyperbolicity and zero Lyapunov exponents for SL(2,R) cocycle
Let (ξj)j≥1 be a non-stationary Markov chain with phase space X and let gj:X↦SL(m,R) be a sequence o...
We give a characterization of tempered exponential dichotomies for linear cocycles over flows in ter...
We consider generalizations of Schuetzenberger's promotion operator on the set L of linear extension...