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

Saloff-Coste Laurent; Zheng Tianyi

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

机译：稳定的较大偏差，例如$ mathbb Z ^ d $上的随机游走，并应用于花圈产品的随机游走

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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.

机译：当$ mathbb Z ^ d $上的潜在随机游走在$ mathbb R ^ d $上的算子稳定定律的吸引域中时，我们得出占用时间函数的Donsker-Vardhan类型结果。给出了花圈产品（也称为灯光组）随机行走的应用。

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《Electronic Journal of Probability》 |2013年第4期|共35页
作者
Saloff-Coste Laurent; Zheng Tianyi;
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中图分类数学;
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Large deviations for stable like random walks on $mathbb Z^d$ with applications to random walks on wreath products

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