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2013 Large deviations for stable like random walks on $\mathbb Z^d$ with applications to random walks on wreath products
Laurent Saloff-Coste, Tianyi Zheng
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Electron. J. Probab. 18: 1-35 (2013). DOI: 10.1214/EJP.v18-2439

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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Laurent Saloff-Coste. Tianyi Zheng. "Large deviations for stable like random walks on $\mathbb Z^d$ with applications to random walks on wreath products." Electron. J. Probab. 18 1 - 35, 2013. https://doi.org/10.1214/EJP.v18-2439

Information

Accepted: 26 October 2013; Published: 2013
First available in Project Euclid: 4 June 2016

zbMATH: 1303.60012
MathSciNet: MR3126576
Digital Object Identifier: 10.1214/EJP.v18-2439

Subjects:
Primary: 60B15
Secondary: 60F10

JOURNAL ARTICLE
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Vol.18 • 2013
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