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Limit theorems for additive functionals of random walks in random scenery
Françoise Pene
We study the asymptotic behaviour of additive functionals of random walks in random scenery. We establish bounds for the moments of the local time of the Kesten and Spitzer process…
Application of the convergence of the spatio-temporal processes for visits to small sets
Françoise Pène, Benoit Saussol
The goal of this article is to point out the importance of spatio-temporal processes in different questions of quantitative recurrence. We focus on applications to the study of the…
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…
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…
Convergence to -stable Lévy motion for chaotic billiards with several cusps at flat points
Paul Jung, Françoise Pène, Hong-Kun Zhang
We consider billiards with several possibly non-isometric and asymmetric cusps at flat points; the case of a single symmetric cusp was studied previously in Zhang (2017) and Jung &…
Mixing and decorrelation in infinite measure: the case of the periodic sinai billiard
Françoise Pène
We investigate the question of the rate of mixing for observables of a Z d-extension of a probability preserving dynamical system with good spectral properties. We state general mi…