2 citations · 5 across the 9 of their papers we have counts for
11 papers
Repulsive Mean-Field Couplings and Self-Consistent Transfer Operators
Roberto Castorrini, Stefano Galatolo, Matteo Tanzi
We study a one-dimensional self-consistent transfer operator generated by a repulsive mean-field coupling. The interaction admits a natural interpretation as a myopic relocation dy…
Maharam-Pollicott-Ruelle resonances and self-similar translation flows on abelian covers
Mauro Artigiani, Roberto Castorrini, Davide Ravotti +1
We study self-similar translation flows on -covers of compact translation surfaces. Our main goal is to investigate their ergodic properties with respect to general Ma…
Four collapsing one-dimensional particles: a dynamical system approach of the spherical billiard reduction
Roberto Castorrini, Théophile Dolmaire
We consider a system of four one-dimensional inelastic hard spheres evolving on the real line , and colliding according to a scattering law characterized by a fixed res…
Limit theorems for toral partially hyperbolic endomorphisms
Roberto Castorrini, Kasun Fernando
Under natural assumptions on the observable, we prove a Central Limit Theorem, a Berry-Esseen Theorem, and a quantitative Local Limit Theorem for a broad class of partially hyperbo…
Stability of Fixed Points for Nonlinear Selfconsistent Transfer Operators via Cone Contractions
Roberto Castorrini, Stefano Galatolo, Matteo Tanzi
In this paper we investigate the action of self-consistent transfer operators (STOs) on Birkhoff cones and give sufficient conditions for stability of their fixed points. Our appro…
The differential of self-consistent transfer operators and the local convergence to equilibrium of mean field strongly coupled dynamical systems
Roberto Castorrini, Stefano Galatolo, Matteo Tanzi
We consider the differential of a self-consistent transfer operator at a fixed point of the operator itself and show that its spectral properties can be used to establish a kind of…
Horocycle flows on abelian covers of surfaces of negative curvature
Roberto Castorrini, Davide Ravotti
We consider the unit speed parametrization of the horocycle flow on infinite Abelian covers of compact surfaces of negative curvature. We prove an asymptotic result for the ergodic…
Dynamical Zeta functions for differentiable parabolic maps of the interval
Claudio Bonanno, Roberto Castorrini
This paper explores the domain of meromorphic extension for the dynamical zeta function associated to a class of one-dimensional differentiable parabolic maps featuring an indiffer…
Discontinuities cause essential spectrum on surfaces
Oliver Butterley, Giovanni Canestrari, Roberto Castorrini
Two-dimensional maps with discontinuities are considered. It is shown that, in the presence of discontinuities, the essential spectrum of the transfer operator is large whenever it…
Thermodynamic formalism for piecewise expanding maps in finite dimension
Viviane Baladi, Roberto Castorrini
We study weighted transfer operators associated to a piecewise expanding map on a compact manifold, and a piecewise Holder weight, acting on Sobolev spaces. We bound the essential…
Quantitative statistical properties of two-dimensional partially hyperbolic systems
Roberto Castorrini, Carlangelo Liverani
We study a class of two dimensional partially hyperbolic systems, not necessarily skew products, trying to establish the germ of a general theory. To illustrate the scope of the th…