There are numerous physical situations in which a hole or leak is introduced in an otherwise
closed chaotic system. The leak can have a natural origin, it can mimic measurement …

Written by a team of international experts, Extremes and Recurrence in Dynamical Systems
presents a unique point of view on the mathematical theory of extremes and on its …

The object of this paper is twofold. From one side we study the dichotomy, in terms of the
Extremal Index of the possible Extreme Value Laws, when the rare events are centred …

We discuss how an eigenvalue perturbation formula for transfer operators of dynamical
systems is related to exponential hitting time distributions and extreme value theory for …

We prove that the distributional limit of the normalised number of returns to small
neighbourhoods of periodic points of certain non-uniformly hyperbolic dynamical systems is …

We prove a dichotomy for Manneville–Pomeau maps f:[0, 1]→[0, 1]: given any point ζ∈[0, 1],
either the Rare Events Point Processes (REPP), counting the number of exceedances …

We show how to obtain theoretical and numerical estimates of correlation dimension and
phase space contraction by using the extreme value theory. The maxima of suitable …

We obtain error terms on the rate of convergence to Extreme Value Laws, and to the
asymptotic Hitting Time Statistics, for a general class of weakly dependent stochastic …

We study the distribution of maxima (extreme value statistics) for sequences of observables
computed along orbits generated by random transformations. The underlying, deterministic …

Extremes and extremal indices for level set observables on hyperbolic systems* Page 1
Nonlinearity PAPER • OPEN ACCESS Extremes and extremal indices for level set …