One-dimensional dynamics has developed in the last decades into a subject in its own right.
Yet, many recent results are inaccessible and have never been brought together. For this …

This paper is about statistical properties such as decay of correlations for chaotic dynamical
systems. Our goal is a systematic understanding of these properties for a class of discrete …

Although individual orbits of chaotic dynamical systems are by definition unpredictable, the
average behavior of typical trajectories can often be given a precise statistical description …

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 …

Stability of the spectrum for transfer operators Page 1 ANNALI DELLA SCUOLA NORMALE
SUPERIORE DI PISA Classe di Scienze GERHARD KELLER CARLANGELO LIVERANI …

We consider discrete time dynamical systems and show the link between Hitting Time
Statistics (the distribution of the first time points land in asymptotically small sets) and …

We obtain large deviation estimates for a large class of nonuniformly hyperbolic systems:
namely those modelled by Young towers with summable decay of correlations. In the case of …

Consider a smooth one-parameter family t-> f_t of dynamical systems f_t, with| t|< epsilon.
Assume that for all t (or for many t close to t= 0) the map f_t admits a unique SRB invariant …

On July 9, 2001, Springer invited me to contribute a monograph on dynamical systems. I
immediately accepted, offering to write a book on dynamical zeta functions and dynamical …

We prove the central limit theorem and weak invariance principle for abstract dynamical
systems based on bounds on their mixing coefficients. We also develop techniques of …