Large deviations for stable like random walks on $\mathbb Z^d$ with applications to random walks on wreath products

Laurent Saloff-Coste (Cornell University)
Tianyi Zheng (Cornell University)

Abstract


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.

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Pages: 1-35

Publication Date: October 26, 2013

DOI: 10.1214/EJP.v18-2439

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