40 citations · 99 across the 15 of their papers we have counts for
5 papers · 1 filter
Multivariate stable mixing local limit theorem for intermittent diffeomorphisms and flows
Ian Melbourne, Françoise Pène, Dalia Terhesiu
We prove mixing local limit theorems for dynamical systems in the superdiffusive regime where there is convergence to a multivariate stable law (including the nonstandard domain of…
Quantitative recurrence for tranformation
Françoise Pène, Benoit Saussol
We are interested in the study of the asymptotic behaviour of return times in small balls for the -transformation. We exhibit different asymptotic behaviours (different s…
Expansions in the local and the central limit theorems for dynamical systems
Kasun Fernando, Françoise Pène
We study higher order expansions both in the Berry-Esséen estimate (Edgeworth expansions) and in the local limit theorems for Birkhoff sums of chaotic probability preserving dynami…
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…
Mixing rate in infinite measure for Z^d-extension, application to the periodic Sinai billiard
Françoise Pène
We study the rate of mixing of observables of Z^d-extensions of probability preserving dynamical systems. We explain how this question is directly linked to the local limit theorem…