Given any smooth Anosov map, we construct a Banach space on which the associated transfer operator is quasi-compact. The peculiarity of such a space is that, in the case of expanding maps, it reduces exactly to the usual space of functions of bounded variation which has proved to be particularly successful in studying the statistical properties of piecewise expanding maps. Our approach is based on a new method of studying the absolute continuity of foliations, which provides new information that could prove useful in treating hyperbolic systems with singularities
The spectra of transfer operators associated to dynamical systems, when acting on suitable Banach sp...
In order to study the validity of a trace formula for infinitely differentiable Anosov flows propose...
We investigate the relation between the distributions appearing in the study of ergodic averages of ...
Given any smooth Anosov map, we construct a Banach space on which the associated transfer operator i...
We study infinite systems of globally coupled Anosov diffeomorphisms with weak coupling strength. Us...
We study the spectral properties of the Ruelle-Perron-Frobenius operator associated to an Anosov ma...
Abstract. We introduce a weak transversality condition for piecewise C1+α and piecewise hyperbolic m...
Sono presentati i flussi di Anosov sia mostrando le loro proprieta' fondamentali sia moastrando alcu...
We study infinite systems of globally coupled Anosov diffeomorphisms with weak coupling strength. Us...
Revised version. Technical points clarified. Statements for t=1 or infty suppressedWe consider a smo...
The operator renewal-type approach to obtain polynomial mixing rates in various innite measure-prese...
Abstract. We give sharp regularity results for the invariant subbundles of hyperbolic dynamical syst...
The spectrum of transfer operators contains key information on statistical properties of hyperbolic ...
Abstract. — We study spectral properties of transfer operators for diffeomor-phisms T: X → X on a Ri...
We study multiplication as well as Nemytskij operators in anisotropic vector-valued Besov spaces $B^...
The spectra of transfer operators associated to dynamical systems, when acting on suitable Banach sp...
In order to study the validity of a trace formula for infinitely differentiable Anosov flows propose...
We investigate the relation between the distributions appearing in the study of ergodic averages of ...
Given any smooth Anosov map, we construct a Banach space on which the associated transfer operator i...
We study infinite systems of globally coupled Anosov diffeomorphisms with weak coupling strength. Us...
We study the spectral properties of the Ruelle-Perron-Frobenius operator associated to an Anosov ma...
Abstract. We introduce a weak transversality condition for piecewise C1+α and piecewise hyperbolic m...
Sono presentati i flussi di Anosov sia mostrando le loro proprieta' fondamentali sia moastrando alcu...
We study infinite systems of globally coupled Anosov diffeomorphisms with weak coupling strength. Us...
Revised version. Technical points clarified. Statements for t=1 or infty suppressedWe consider a smo...
The operator renewal-type approach to obtain polynomial mixing rates in various innite measure-prese...
Abstract. We give sharp regularity results for the invariant subbundles of hyperbolic dynamical syst...
The spectrum of transfer operators contains key information on statistical properties of hyperbolic ...
Abstract. — We study spectral properties of transfer operators for diffeomor-phisms T: X → X on a Ri...
We study multiplication as well as Nemytskij operators in anisotropic vector-valued Besov spaces $B^...
The spectra of transfer operators associated to dynamical systems, when acting on suitable Banach sp...
In order to study the validity of a trace formula for infinitely differentiable Anosov flows propose...
We investigate the relation between the distributions appearing in the study of ergodic averages of ...