From the 1 of 7 linked papers with an AI index.
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Maharam-Pollicott-Ruelle resonances and self-similar translation flows on abelian covers
Mauro Artigiani, Roberto Castorrini, Davide Ravotti +1
The paper analyzes self‑similar translation flows on abelian (ℤ^d) covers of compact translation surfaces, using twisted transfer operators to study ergodic properties with respect…
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…
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…
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…
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…