We give an example of a path-wise connected open set of C ∞ partially hyperbolic endomorphisms on the 2-torus, on which the SRB measure exists for each system and varies smoothly depending on the system, while the sign of its central Lyapunov exponent does change
This is a slightly expanded version of the text of a lecture I gave in a conference at Rutgers Unive...
We introduce a class of endomorphisms which are piecewise smooth and have hyperbolic attractors. Thi...
Abstract. We establish stable ergodicity of diffeomorphisms with partially hyperbolic attractors who...
In ergodic theory of smooth dynamical systems, one of the most fundamental questions is whether almo...
We construct Sinai-Ruelle-Bowen (SRB) measures supported on partially hyperbolic sets of diffeomorph...
Let mu be an SRB-measure on an Axiom A attractor Delta of a C(2)-endomorphism (M, f). As is known, p...
References updatedInternational audienceIn this paper, we study the limit measures of the empirical ...
We study a class of two-dimensional partially hyperbolic systems, not necessarily skew products, in ...
Abstract. Almost hyperbolic systems are smooth dynamical systems that are hyperbolic everywhere exce...
We consider a class of C 4 partially hyperbolic systems on T 2 described by maps Fε(x, θ) = (f(x,...
Abstract. We consider a large class of partially hyperbolic sys-tems containing, among others, ane m...
This volume presents a general smooth ergodic theory for deterministic dynamical systems generated b...
this article we consider hyperbolic measures which are invariant for endomorphisms and show the corr...
Abstract. We consider a class of C4 partially hyperbolic systems on T2 given by ε-perturbations of m...
We analyze when partially hyperbolic endomorphisms can be perturbed in order to be close to one with...
This is a slightly expanded version of the text of a lecture I gave in a conference at Rutgers Unive...
We introduce a class of endomorphisms which are piecewise smooth and have hyperbolic attractors. Thi...
Abstract. We establish stable ergodicity of diffeomorphisms with partially hyperbolic attractors who...
In ergodic theory of smooth dynamical systems, one of the most fundamental questions is whether almo...
We construct Sinai-Ruelle-Bowen (SRB) measures supported on partially hyperbolic sets of diffeomorph...
Let mu be an SRB-measure on an Axiom A attractor Delta of a C(2)-endomorphism (M, f). As is known, p...
References updatedInternational audienceIn this paper, we study the limit measures of the empirical ...
We study a class of two-dimensional partially hyperbolic systems, not necessarily skew products, in ...
Abstract. Almost hyperbolic systems are smooth dynamical systems that are hyperbolic everywhere exce...
We consider a class of C 4 partially hyperbolic systems on T 2 described by maps Fε(x, θ) = (f(x,...
Abstract. We consider a large class of partially hyperbolic sys-tems containing, among others, ane m...
This volume presents a general smooth ergodic theory for deterministic dynamical systems generated b...
this article we consider hyperbolic measures which are invariant for endomorphisms and show the corr...
Abstract. We consider a class of C4 partially hyperbolic systems on T2 given by ε-perturbations of m...
We analyze when partially hyperbolic endomorphisms can be perturbed in order to be close to one with...
This is a slightly expanded version of the text of a lecture I gave in a conference at Rutgers Unive...
We introduce a class of endomorphisms which are piecewise smooth and have hyperbolic attractors. Thi...
Abstract. We establish stable ergodicity of diffeomorphisms with partially hyperbolic attractors who...