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math.DS2019
Probabilistic potential theory and induction of dynamical systems
Françoise Pène, Damien Thomine
In this article, we outline a version of a balayage formula in probabilistic potential theory adapted to measure-preserving dynamical systems. This balayage identity generalizes th…
math.DS2019
Asymptotic expansion of correlation functions for covers of hyperbolic flows
Dmitry Dolgopyat, Péter Nándori, Françoise Pène
We establish expansion of every order for the correlation function of sufficiently regular observables of extensions of some hyperbolic flows. Our examples include th…