Fabienne Castell

Quenched Large Deviations for Diffusions in a Random Gaussian Shear Flow Drift

We prove a full large deviations principle for the one-dimensional laws of the diffusion process with random drift , where V is a centered Gaussian shear flow random field independent of the Brownian W. The large deviations principle is an annealed one, that is integrated over the randomnesses of V and W.

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}

Parabolic Anderson model with a finite number of moving catalysts

, where

LARGE DEVIATIONS FOR INTERSECTION LOCAL TIMES IN CRITICAL DIMENSION

(X_k,k\ge 1)

On the local time of random processes in random scenery

and

Random walk in random scenery and self-intersection local times in dimensions d ≥ 5

(\xi_y,y\in\mathbb Z)

Large deviations for Brownian motion in a random scenery

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

A note on random walk in random scenery

\alpha\in (0,2]

Self-Intersection Times for Random Walk, and Random Walk in Random Scenery in dimensions d>4

and