In broad terms, the goal of dynamics is to describe the long-term evolution of systems for
which an" infinitesimal" evolution rule, such as a differential equation or the iteration of a …

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 book aims to provide a global perspective of this theory and make it easier for the
reader to digest the growing literature on this subject. This is not the first book on the subject …

We prove that a singular-hyperbolic attractor of a $3 $-dimensional flow is chaotic, in two
different strong senses. First, the flow is expansive: if two points remain close at all times …

Robust chaos is defined by the absence of periodic windows and coexisting attractors in
some neighborhoods in the parameter space of a dynamical system. This unique book …

We consider non-uniformly expanding maps on compact Riemannian manifolds of arbitrary
dimension, possibly having discontinuities and/or critical sets, and show that under some …

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 …

Since the time of Newton it became customary to describe the law of motion of a mechanical
system by a solution X (t) of an ordinary differential equation with a given initial condition X …

We prove existence of finitely many ergodic equilibrium states for a large class of non-
uniformly expanding local homeomorphisms on compact metric spaces and Hölder …

A classic approach in dynamical systems is to use particular geometric structures to deduce
statistical properties, for example the existence of invariant measures with stochastic-like …