Saloff-Coste, Laurent; Zheng, Tianyi Large deviations for stable like random walks on \(\mathbb Z^d\) with applications to random walks on wreath products. (English) Zbl 1303.60012 Electron. J. Probab. 18, Paper No. 93, 35 p. (2013). 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. Reviewer: Vakhtang V. Kvaratskhelia (Tbilisi) Cited in 2 Documents MSC: 60B15 Probability measures on groups or semigroups, Fourier transforms, factorization 60F10 Large deviations Keywords:random walks; wreath product; large deviations PDFBibTeX XMLCite \textit{L. Saloff-Coste} and \textit{T. Zheng}, Electron. J. Probab. 18, Paper No. 93, 35 p. (2013; Zbl 1303.60012) Full Text: DOI arXiv