Main concepts of quasi-stationary distributions (QSDs) for killed processes are the focus of
the present volume. For diffusions, the killing is at the boundary and for dynamical systems …

By introducing appropriate Banach spaces one can study the spectral properties of the
generator of the semigroup defined by an Anosov flow. Consequently, it is possible to easily …

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 present a common framework to study decay and exchanges rates in a wide class of
dynamical systems. Several applications, ranging from the metric theory of continuos …

We prove exponential decay of correlations for the billiard flow associated with a two-
dimensional finite horizon Lorentz Gas (ie, the Sinai billiard flow with finite horizon). Along …

We present a new scale U^ t, s _p U pt, s (s<-t< 0 s<-t< 0 and 1 ≤ p< ∞ 1≤ p<∞) of
anisotropic Banach spaces, defined via Paley–Littlewood, on which the transfer operator L …

We study the billiard map associated with both the finite and infinite horizon Lorentz gases
having smooth scatterers with strictly positive curvature. We introduce generalized function …

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 …

A spectral approach for quenched limit theorems for random hyperbolic dynamical systems
Page 1 TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 373 …

We present a functional analytic framework based on the spectrum of the transfer operator to
study billiard maps associated with perturbations of the periodic Lorentz gas. We show that …