3 papers
math.PR2025
Iterated random walks in random scenery (PAPAPA)
Nadine Guillotin-Plantard, Françoise Pène, Frédérique Watbled
We establish a limit theorem for a new model of 3-dimensional random walk in an inhomogeneous lattice with random orientations. This model can be seen as a 3dimensional version of…
math.PR2025
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…
math.DS2024
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…