Add to ORKGWe prove an almost sure invariance principle that is valid for general classes of nonuniformly expanding and nonuniformly hyperbolic dynamical systems. Discrete time systems and flows are covered by this result. In particular, the result applies to the planar periodic Lorentz flow with finite horizon. Statistical limit laws such as the central limit theorem, the law of the iterated logarithm, and their functional versions, are immediate consequences.</p
In this thesis we study the central limit theorem (CLT) for nonuniformly hyperbolic dynamical system...
Abstract. We consider a large class of partially hyperbolic sys-tems containing, among others, ane m...
We show that superpolynomial decay of correlations (rapid mixing) is prevalent for a class of nonuni...
We prove an almost sure invariance principle that is valid for general classes of nonuniformly expan...
We prove the Almost Sure Invariance Principle (ASIP) with close to optimal error rates for nonunifor...
We prove an almost sure invariance principle (approximation by d-dimensional Brownian motion) for ve...
International audienceWe establish almost sure invariance principles, a strong form of approximation...
We provide a systematic approach for deducing statistical limit laws via martingale-coboundary decom...
In dynamical systems theory, a standard method for passing from discrete time to continuous time is ...
Recent work of Dolgopyat shows that "typical" hyperbolic flows exhibit rapid decay of correlations. ...
Abstract. We give sufficient conditions for the uniform hyperbolicity of certain nonuniformly hyperb...
One of the major discoveries of the 20th century mathematics is the possibility of random behavior o...
Abstract. Almost hyperbolic systems are smooth dynamical systems that are hyperbolic everywhere exce...
International audienceThe purpose of this article is to support the idea that "whenever we can prove...
This monograph offers a coherent, self-contained account of the theory of Sinai–Ruelle–Bowen measure...
In this thesis we study the central limit theorem (CLT) for nonuniformly hyperbolic dynamical system...
Abstract. We consider a large class of partially hyperbolic sys-tems containing, among others, ane m...
We show that superpolynomial decay of correlations (rapid mixing) is prevalent for a class of nonuni...
We prove an almost sure invariance principle that is valid for general classes of nonuniformly expan...
We prove the Almost Sure Invariance Principle (ASIP) with close to optimal error rates for nonunifor...
We prove an almost sure invariance principle (approximation by d-dimensional Brownian motion) for ve...
International audienceWe establish almost sure invariance principles, a strong form of approximation...
We provide a systematic approach for deducing statistical limit laws via martingale-coboundary decom...
In dynamical systems theory, a standard method for passing from discrete time to continuous time is ...
Recent work of Dolgopyat shows that "typical" hyperbolic flows exhibit rapid decay of correlations. ...
Abstract. We give sufficient conditions for the uniform hyperbolicity of certain nonuniformly hyperb...
One of the major discoveries of the 20th century mathematics is the possibility of random behavior o...
Abstract. Almost hyperbolic systems are smooth dynamical systems that are hyperbolic everywhere exce...
International audienceThe purpose of this article is to support the idea that "whenever we can prove...
This monograph offers a coherent, self-contained account of the theory of Sinai–Ruelle–Bowen measure...
In this thesis we study the central limit theorem (CLT) for nonuniformly hyperbolic dynamical system...
Abstract. We consider a large class of partially hyperbolic sys-tems containing, among others, ane m...
We show that superpolynomial decay of correlations (rapid mixing) is prevalent for a class of nonuni...