Françoise Pène

A local limit theorem for random walks in random scenery and on randomly oriented lattices

Random walks in random scenery are processes defined by

Limit theorems for one and two-dimensional random walks in random scenery

Z_n:=\sum_{k=1}^n\xi_{X_1+...+X_k}

On the Degree of Caustics by Reflection

, where

Back to Balls in Billiards

(X_k,k\ge 1)

Rates in the strong invariance principle for ergodic automorphisms of the torus

and

Stable limit theorem for

(\xi_y,y\in\mathbb Z)

U

are two independent sequences of i.i.d. random variables. We assume here that their distributions belong to the normal domain of attraction of stable laws with index

-statistic processes indexed by a random walk

\alpha\in (0,2]

Rates of Convergence in the Strong Invariance Principle for Non-adapted Sequences Application to Ergodic Automorphisms of the Torus

and

Multiple decorrelation and rate of convergence in multidimensional limit theorems for the Prokhorov metric

\beta\in (0,2]