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

   
@article{EJP2439,
	author = {Laurent Saloff-Coste and Tianyi Zheng},
	title = {Large deviations for stable like random walks on $\mathbb Z^d$  with applications to random walks on wreath products},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {18},
	year = {2013},
	keywords = {Random walk;Large deviation;Operator-stable laws},
	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.},
	pages = {no. 93, 1-35},
	issn = {1083-6489},
	doi = {10.1214/EJP.v18-2439},    
        url = {http://ejp.ejpecp.org/article/view/2439}}