30 citations · 89 across the 22 of their papers we have counts for
4 papers · 1 filter
On the recurrence of some random walks in random environment
Nina Gantert, Michael Kochler, Francoise Pene
This work is motivated by the study of some two-dimensional random walks in random environment (RWRE) with transition probabilities independent of one coordinate of the walk. These…
Normal class and normal lines of algebraic hypersurfaces
Alfrederic Josse, Francoise Pene
We are interested in the normal class of an algebraic hypersurface Z of the complex projective space P^n, that is the number of normal lines to Z passing through a generic point of…
Poisson law for some nonuniformly hyperbolic dynamical systems with polynomial rate of mixing
Francoise Pene, Benoit Saussol
We consider some nonuniformly hyperbolic invertible dynamical systems which are modeled by a Gibbs-Markov-Young tower. We assume a polynomial tail for the inducing time and a polyn…
Convergence of U-statistics indexed by a random walk to stochastic integrals of a Levy sheet
Brice Franke, Francoise Pene, Martin Wendler
We establish limit theorems for U-statistics indexed by a random walk on Z^d and we express the limit in terms of some Levy sheet Z(s,t). Under some hypotheses, we prove that the l…