The principal signatures of deterministic dynamics in the probabilistic properties of extremes are identified. Analytical expressions for n-fold cumulative distributions and their associated densities are derived. Substantial differences from the classical statistical theory of extreme values are found and illustrated on generic classes of dynamical systems giving rise to fully developed chaos and to quasi-periodic behavior.SCOPUS: re.jinfo:eu-repo/semantics/publishe
A novel development in the theory of deterministic dynamical systems is the application of extreme v...
The extremal index appears as a parameter in Extreme Value Laws for stochastic processes, characteri...
Typically, in the dynamical theory of extremal events, the function that gauges the intensity of a p...
A theory of extremes is developed for chaotic dynamical systems and illustrated on representative mo...
The probabilistic properties of extreme values in multivariate deterministic dynamical systems are a...
We consider the distribution of the maximum for finite, deterministic, periodic and quasiperiodic se...
Abstract. We study the distribution of maxima (Extreme Value Statistics) for sequences of observable...
International audienceWe study the distribution of maxima (extreme value statistics) for sequences o...
Abstract. We present a review of recent results regarding the existence of Extreme Value Laws for st...
Extreme events capture the attention and imagination of the general public. Extreme events, especial...
Extreme events occur in a variety of dynamical systems. Here we employ quantifiers of chaos to ident...
International audienceThe object of this paper is twofold. From one side we study the dichotomy, in ...
The object of this paper is twofold. From one side we study the dichotomy, in terms of the Extremal ...
Motivated by proofs in extreme value theory, we investigate the statistical properties of certain ch...
The main results of the extreme value theory developed for the investigation of the observables of d...
A novel development in the theory of deterministic dynamical systems is the application of extreme v...
The extremal index appears as a parameter in Extreme Value Laws for stochastic processes, characteri...
Typically, in the dynamical theory of extremal events, the function that gauges the intensity of a p...
A theory of extremes is developed for chaotic dynamical systems and illustrated on representative mo...
The probabilistic properties of extreme values in multivariate deterministic dynamical systems are a...
We consider the distribution of the maximum for finite, deterministic, periodic and quasiperiodic se...
Abstract. We study the distribution of maxima (Extreme Value Statistics) for sequences of observable...
International audienceWe study the distribution of maxima (extreme value statistics) for sequences o...
Abstract. We present a review of recent results regarding the existence of Extreme Value Laws for st...
Extreme events capture the attention and imagination of the general public. Extreme events, especial...
Extreme events occur in a variety of dynamical systems. Here we employ quantifiers of chaos to ident...
International audienceThe object of this paper is twofold. From one side we study the dichotomy, in ...
The object of this paper is twofold. From one side we study the dichotomy, in terms of the Extremal ...
Motivated by proofs in extreme value theory, we investigate the statistical properties of certain ch...
The main results of the extreme value theory developed for the investigation of the observables of d...
A novel development in the theory of deterministic dynamical systems is the application of extreme v...
The extremal index appears as a parameter in Extreme Value Laws for stochastic processes, characteri...
Typically, in the dynamical theory of extremal events, the function that gauges the intensity of a p...
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