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

Fabienne Castell, Nadine Guillotin--Plantard, Françoise Pène

Random walks in random scenery are processes defined by $Z_n:={\sum }_{k=1}^n{\xi }_{X_1+...+X_k}$, where $(X_k,k\ge 1)$ and $({\xi }_y,y\in {\mathbb{Z}}^d)$ are two independent sequences of i.i.…