5 citations · 7 across the 7 of their papers we have counts for
6 papers · 1 filter
Sharp error term in local limit theorems and mixing for Lorentz gases with infinite horizon
Francoise Pène, Dalia Terhesiu
We obtain sharp error rates in the local limit theorem for the Sinai billiard map (one and two dimensional) with infinite horizon. This result allows us to further obtain higher or…
Local limit theorem for randomly deforming billiards
Mark F. Demers, Francoise Pene, Hong-Kun Zhang
We study limit theorems in the context of random perturbations of dispersing billiards in finite and infinite measure. In the context of a planar periodic Lorentz gas with finite h…
Spatio-temporal Poisson processes for visits to small sets
Françoise Pène, Benoit Saussol
For many measure preserving dynamical systems the successive hitting times to a small set is well approximated by a Poisson process on the real line. In this work we defi…
Self-intersections of trajectories of Lorentz process
Francoise Pene
We study the asymptotic behaviour of the number of self-intersections of a trajectory of a periodic planar Lorentz process with strictly convex obstacles and finite horizon. We giv…
An asymptotic estimate of the variance of the self-intersections of a planar periodic Lorentz process
Francoise Pene
We consider a periodic planar Lorentz process with strictly convex obstacles and finite horizon. This process describes the displacement of a particle moving in the plane with unit…
A limit theorem for a random walk in a stationary scenery coming from a hyperbolic dynamical system
Francoise Pene
In this paper, we extend a result of Kesten and Spitzer (1979). Let us consider a stationary sequence given by an invertible probability dynamical system and…