Abstract. We establish that Hölder observations on certain non-uniformly hyperbolic diffeomorphisms and on certain hyperbolic systems with singularities exhibit the same extreme value statistics as iid processes with the same distribution function. Dynamical systems to which our results apply include Lozi-like maps, hyperbolic billiards, Lorenz maps and Henón diffeomorphisms. Suspension flows of such systems, including the Lorenz flow, exhibit the same extreme laws. 1
The main results of the extreme value theory developed for the investigation of the observables of d...
We establish dynamical Borel-Cantelli lemmas for nested balls and rectangles cen-tered at generic po...
In the paper, we prove convergence of moments of all orders for Axiom A diffeomorphisms and flows. T...
Extreme value theory for chaotic deterministic dynamical systems is a rapidly expanding area of rese...
Motivated by proofs in extreme value theory, we investigate the statistical properties of certain ch...
Dynamical systems "trvith complicated orbit structures are best described by suitable invariant mea...
In this thesis, some statistical properties of two interesting problems are studied. The fir...
In this paper we perform an analytical and numerical study of Extreme Value distributions in discret...
International audienceIn this paper we perform an analytical and numerical study of Extreme Value di...
We prove the equivalence between the existence of a non-trivial hitting time statistics law and Extr...
We prove large deviation principles for ergodic averages of dynamical systems admitting Markov tower...
We consider discrete time dynamical systems and show the link between Hitting Time Statistics (the d...
In the paper, we prove convergence of moments of all orders for Axiom A diffeomorphisms and flows. T...
For non-uniformly hyperbolic dynamical systems we consider the time series of maxima along typical o...
Abstract. We prove the equivalence between the existence of a non-trivial hitting time statistics la...
The main results of the extreme value theory developed for the investigation of the observables of d...
We establish dynamical Borel-Cantelli lemmas for nested balls and rectangles cen-tered at generic po...
In the paper, we prove convergence of moments of all orders for Axiom A diffeomorphisms and flows. T...
Extreme value theory for chaotic deterministic dynamical systems is a rapidly expanding area of rese...
Motivated by proofs in extreme value theory, we investigate the statistical properties of certain ch...
Dynamical systems "trvith complicated orbit structures are best described by suitable invariant mea...
In this thesis, some statistical properties of two interesting problems are studied. The fir...
In this paper we perform an analytical and numerical study of Extreme Value distributions in discret...
International audienceIn this paper we perform an analytical and numerical study of Extreme Value di...
We prove the equivalence between the existence of a non-trivial hitting time statistics law and Extr...
We prove large deviation principles for ergodic averages of dynamical systems admitting Markov tower...
We consider discrete time dynamical systems and show the link between Hitting Time Statistics (the d...
In the paper, we prove convergence of moments of all orders for Axiom A diffeomorphisms and flows. T...
For non-uniformly hyperbolic dynamical systems we consider the time series of maxima along typical o...
Abstract. We prove the equivalence between the existence of a non-trivial hitting time statistics la...
The main results of the extreme value theory developed for the investigation of the observables of d...
We establish dynamical Borel-Cantelli lemmas for nested balls and rectangles cen-tered at generic po...
In the paper, we prove convergence of moments of all orders for Axiom A diffeomorphisms and flows. T...