Add to ORKGWe consider some very simple examples of SL(2; R)-cocycles and prove that they have positive Lyapunov exponents. These cocycles form an open set in the C¹topology
We consider finite families of SL(2,R) matrices whose products display uniform exponential growth. T...
Abstract. We show how to extend (and with what limitations) Avila’s global theory of analytic SL(2,C...
We show how to extend (and with what limitations) Avila’s global theory of analytic SL(2,C) cocycles...
Abstract. We consider some very simple examples of SL(2, R)-cocycles and prove that they have positi...
Dichotomies between uniform hyperbolicity and zero Lyapunov exponents for SL(2,R) cocycle
Abstract. We consider SL(2,R)-valued cocycles over rotations of the circle and prove that they are l...
Abstract. In the present paper we give a positive answer to a question posed by Viana in [22] on the...
We consider SL(2; R)-valued cocycles over rotations of the circle and prove that they are likely to ...
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) ...
Abstract. We study the geometry of the action of SL(2,R) on the projective line in order to present ...
Abstract. We give a general necessary condition for the extremal (largest and smallest) Lyapunov exp...
In this talk I will discuss the prevalence of exponential behavior (non-zero Lyapunov exponents) for...
Abstract. We show the sum of the first k Lyapunov exponents of linear cocycles is an upper semiconti...
Abstract. We consider an m-dimensional analytic cocycle T × Rm 3 (x, ~ψ) 7 → (x+ ω,A(x) · ~ψ) ∈ T ...
Given a quasiperiodic cocycle in sl(2, R) sufficiently close to a constant, we prove that it is almo...
We consider finite families of SL(2,R) matrices whose products display uniform exponential growth. T...
Abstract. We show how to extend (and with what limitations) Avila’s global theory of analytic SL(2,C...
We show how to extend (and with what limitations) Avila’s global theory of analytic SL(2,C) cocycles...
Abstract. We consider some very simple examples of SL(2, R)-cocycles and prove that they have positi...
Dichotomies between uniform hyperbolicity and zero Lyapunov exponents for SL(2,R) cocycle
Abstract. We consider SL(2,R)-valued cocycles over rotations of the circle and prove that they are l...
Abstract. In the present paper we give a positive answer to a question posed by Viana in [22] on the...
We consider SL(2; R)-valued cocycles over rotations of the circle and prove that they are likely to ...
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) ...
Abstract. We study the geometry of the action of SL(2,R) on the projective line in order to present ...
Abstract. We give a general necessary condition for the extremal (largest and smallest) Lyapunov exp...
In this talk I will discuss the prevalence of exponential behavior (non-zero Lyapunov exponents) for...
Abstract. We show the sum of the first k Lyapunov exponents of linear cocycles is an upper semiconti...
Abstract. We consider an m-dimensional analytic cocycle T × Rm 3 (x, ~ψ) 7 → (x+ ω,A(x) · ~ψ) ∈ T ...
Given a quasiperiodic cocycle in sl(2, R) sufficiently close to a constant, we prove that it is almo...
We consider finite families of SL(2,R) matrices whose products display uniform exponential growth. T...
Abstract. We show how to extend (and with what limitations) Avila’s global theory of analytic SL(2,C...
We show how to extend (and with what limitations) Avila’s global theory of analytic SL(2,C) cocycles...