30 citations · 89 across the 22 of their papers we have counts for
28 papers
Local large deviations for periodic infinite horizon Lorentz gases
Ian Melbourne, Francoise Pene, Dalia Terhesiu
We prove local large deviations for the periodic infinite horizon Lorentz gas viewed as a -cover () of a dispersing billiard. In addition to this specific exa…
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…
Empirical processes for recurrent and transient random walks in random scenery
Nadine Guillotin-Plantard, Francoise Pene, Martin Wendler
In this paper, we are interested in the asymptotic behaviour of the sequence of processes with \begin{equation*} W_n(s,t):=\sum_{k=1}^{\lfloor nt\rfloor}…
Potential kernel, hitting probabilities and distributional asymptotics
Francoise Pene, Damien Thomine
Z^d-extensions of probability-preserving dynamical systems are themselves dynamical systems preserving an infinite measure, and generalize random walks. Using the method of moments…