7 citations · 8 across the 9 of their papers we have counts for
12 papers
Limit theorems and lack thereof for a multilayer random walk mimicking human mobility
Alessandra Bianchi, Marco Lenci, Françoise Pène
We introduce a continuous-time random walk model on an infinite multilayer structure inspired by transportation networks. Each layer is a copy of , indexed by a non-n…
Limit theorems for Birkhoff sums and local times of the periodic Lorentz gas with infinite horizon
Françoise Pène
This work is a contribution to the study of the ergodic and stochastic properties of Z^d-periodic dynamical systems preserving an infinite measure. We establish functional limit th…
Strong mixing for the periodic Lorentz gas flow with infinite horizon
Françoise Pène, Dalia Terhesiu
We establish strong mixing for the -periodic, infinite horizon, Lorentz gas flow for continuous observables with compact support. The essential feature of this natural…
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…