2 papers
math.DS2016
Finiteness of gibbs measures on noncompact manifolds with pinched negative curvature
Barbara Schapira, Vincent Pit
We characterize the finiteness of Gibbs measures for geodesic flows on negatively curved manifolds by several criteria, analogous to those proposed by Sarig for symbolic dynamical…
math.DS2014
Duality between Eigenfunctions and Eigendistributions of Ruelle and Koopman operators via an integral kernel
Paolo Giulietti, Artur O. Lopes, Vincent Pit
We consider the classical dynamics given by a one sided shift on the Bernoulli space of symbols. We study, on the space of Hölder functions, the eigendistributions of the Ruell…