Annealed deviations of random walk in random scenery

Nina Gantert, Wolfgang König, Zhan Shi

Let $(Z_n{)}_{n\in \mathbb{N}}$ be a $d$-dimensional {\it random walk in random scenery}, i.e., $Z_n={\sum }_{k=0}^{n-1}Y(S_k)$ with $(S_k{)}_{k\in {\mathbb{N}}_0}$ a random walk in ${\mathbb{Z}}^d$ and $(Y(z))_{z\in\…