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 …

It is very unusual for a mathematical or physical idea to disseminate into the society at large.
An interesting example is chaos theory, popularized by Lorenz's butterfly effect:“does the …

We consider the question of computing invariant measures from an abstract point of view.
We work in a general framework (computable metric spaces, computable measures and …

Extreme value theory for chaotic deterministic dynamical systems is a rapidly expanding
area of research. Given a system and a real function (observable) defined on its phase …

We consider transformations preserving a contracting foliation, such that the associated
quotient map satisfies a Lasota-Yorke inequality. We prove that the associated transfer …

We consider a class of maps from the unit square to itself preserving a contracting foliation
and inducing a one-dimensional map having an absolutely continuous invariant measure …

We construct open sets of C k (k≥ 2) vector fields with singularities that have robust
exponential decay of correlations with respect to the unique physical measure. In particular …

We consider maps preserving a foliation which is uniformly contracting and a one-
dimensional associated quotient map having exponential convergence to equilibrium …

Coupling methods for random topological Markov chains Page 1 Ergod. Th. & Dynam. Sys. (2017),
37, 971–994 doi:10.1017/etds.2015.61 c Cambridge University Press, 2015 Coupling methods …

We consider toral extensions of hyperbolic dynamical systems. We prove that its quantitative
recurrence (also with respect to given observables) and hitting time scale behavior depend …