Add to ORKGAbstract. We consider a class of C4 partially hyperbolic systems on T2 given by ε-perturbations of maps F (x, θ) = (f(x, θ), θ) where f(·, θ) are C4 expanding maps of the circle. For sufficiently small ε and an open set of perturbations we prove existence and uniqueness of a SRB measure and exponential decay of correlation for Hölder observables with explicit bounds on the decay rate. 1
In a C-1 non-uniformly hyperbolic systems with limit domination, we consider the periodic measures t...
We consider toral extensions of hyperbolic dynamical systems. We prove that its quantitative recurre...
We review the basic steps leading to the construction of a Sinai-Ruelle-Bowen (SRB) measure for an i...
We consider a class of C 4 partially hyperbolic systems on T 2 described by maps Fε(x, θ) = (f(x,...
We study a class of two-dimensional partially hyperbolic systems, not necessarily skew products, in ...
We study partially hyperbolic attractors of class C 2 diffeomorphisms in a finite dimensional comp...
We introduce random towers to study almost sure rates of correlation decay for random partially hype...
I illustrate a unified approach to the study of the decay of correlations in hyperbolic dynamical sy...
We consider a simple class of fast-slow partially hyperbolic dynamical systems and show that the (p...
Abstract. Almost hyperbolic systems are smooth dynamical systems that are hyperbolic everywhere exce...
p. 17-44Bonatti and Viana introduced a robust (non-empty interior) class of partially hyperbolic att...
Abstract. We consider a large class of partially hyperbolic sys-tems containing, among others, ane m...
We give an example of a path-wise connected open set of C ∞ partially hyperbolic endomorphisms on th...
Translated from Trudy Matematicheskogo Instituta imeni V.A. Steklova, Vol. 244, 2004, pp. 65–86.A dy...
We investigate the decay rates of correlations for nonuniformly hy-perbolic systems with or without ...
In a C-1 non-uniformly hyperbolic systems with limit domination, we consider the periodic measures t...
We consider toral extensions of hyperbolic dynamical systems. We prove that its quantitative recurre...
We review the basic steps leading to the construction of a Sinai-Ruelle-Bowen (SRB) measure for an i...
We consider a class of C 4 partially hyperbolic systems on T 2 described by maps Fε(x, θ) = (f(x,...
We study a class of two-dimensional partially hyperbolic systems, not necessarily skew products, in ...
We study partially hyperbolic attractors of class C 2 diffeomorphisms in a finite dimensional comp...
We introduce random towers to study almost sure rates of correlation decay for random partially hype...
I illustrate a unified approach to the study of the decay of correlations in hyperbolic dynamical sy...
We consider a simple class of fast-slow partially hyperbolic dynamical systems and show that the (p...
Abstract. Almost hyperbolic systems are smooth dynamical systems that are hyperbolic everywhere exce...
p. 17-44Bonatti and Viana introduced a robust (non-empty interior) class of partially hyperbolic att...
Abstract. We consider a large class of partially hyperbolic sys-tems containing, among others, ane m...
We give an example of a path-wise connected open set of C ∞ partially hyperbolic endomorphisms on th...
Translated from Trudy Matematicheskogo Instituta imeni V.A. Steklova, Vol. 244, 2004, pp. 65–86.A dy...
We investigate the decay rates of correlations for nonuniformly hy-perbolic systems with or without ...
In a C-1 non-uniformly hyperbolic systems with limit domination, we consider the periodic measures t...
We consider toral extensions of hyperbolic dynamical systems. We prove that its quantitative recurre...
We review the basic steps leading to the construction of a Sinai-Ruelle-Bowen (SRB) measure for an i...