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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★ 1 cited
Central limit theorems for the -periodic Lorentz gas
Françoise Pène, Damien Thomine
This paper is devoted to the study of the stochastic properties of dynamical systems preserving an infinite measure. More precisely we prove central limit theorems for Birkhoff sum…