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math.DS2014
Parabolic dynamics and Anisotropic Banach spaces
Paolo Giulietti, Carlangelo Liverani
We investigate the relation between the distributions appearing in the study of ergodic averages of parabolic flows (e.g. in the work of Flaminio-Forni) and the ones appearing in t…
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…