30 citations · 89 across the 22 of their papers we have counts for
5 papers · 1 filter
Stable Limit Theorem for U-Statistic Processes Indexed by a Random Walk
Brice Franke, Francoise Pene, Martin Wendler
Let (S_n)_{n\in\N} be a Z-valued random walk with increments from the domain of attraction of some α-stable law and let (ξ(i))_{i\in\Z} be a sequence of iid random variables. We wa…
On the class of caustics by reflection
Alfrederic Josse, Francoise Pene
Given any light position S in the complex projective plane P^2 and any algebraic curve C of P^2 (with any kind of singularities), we consider the incident lines coming from S (i.e.…
Rates in the strong invariance principle for ergodic automorphisms of the torus
Jérôme Dedecker, Florence Merlevède, Francoise Pene
Let T be an ergodic automorphism of the d-dimensional torus. In the spirit of Le Borgne, we give conditions on the Fourier coeffi cients of a real valued function f under which the…
On the recurrence set of planar Markov Random Walks
Loïc Hervé, Françoise Pène
In this paper, we investigate the properties of recurrent planar Markov random walks. More precisely, we study the set of recurrent points with the use of local limit theorems. The…
On the degree of caustics of reflection
Alfrederic Josse, Francoise Pene
Given a point S and any irreducible algebraic curve C in P^2 (with any type of singularities), we consider the caustic of reflection defined as the Zariski closure of the envelope…