## Large deviations for stable like random walks on $$\mathbb Z^d$$ with applications to random walks on wreath products.(English)Zbl 1303.60012

The authors derive Donsker-Varadhan-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.

### MSC:

 60B15 Probability measures on groups or semigroups, Fourier transforms, factorization 60F10 Large deviations

### Keywords:

random walks; wreath product; large deviations
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