Large deviations for stable like random walks on $\mathbb Z^d$ with   applications to random walks on wreath products
  We derive Donsker-Vardhan type results for functionals of the occupation times when the underlying random walk on $\mathbb Z^d$ is in the domain of attraction of an operator-stable law on $\mathbb R^d$. Applications to random walks on wreath products (also known as lamplighter groups) are given. 
Laurent Saloff-Coste and Tianyi Zheng
math.PR