Limit theorem for random walk in weakly dependent random scenery

Nadine Guillotin-Plantard, Clémentine Prieur

Let $S=(S_k{)}_{k\ge 0}$ be a random walk on $\mathbb{Z}$ and $\xi =({\xi }_i{)}_{i\in \mathbb{Z}}$ a stationary random sequence of centered random variables, independent of $S$. We consider…