Chen-Stein method for the uncovered set of random walk on \(\mathbb{Z}_n^d\) for \(d \ge 3\)

DOI10.1214/20-ECP331zbMath1469.60142arXiv1911.05581OpenAlexW2983462308MaRDI QIDQ2201533

Sam Thomas, Perla Sousi

Publication date: 29 September 2020

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.05581

zbMATH Keywords

random walkuncovered setlate pointsGFFChen-Stein

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41)

Cites Work

• Uniformity of the late points of random walk on \({\mathbb {Z}}_{n}^{d}\) for \(d \geq 3\)
• A note on the extremal process of the supercritical Gaussian free field
• Two moments suffice for Poisson approximations: The Chen-Stein method
• Poisson approximation for dependent trials
• Chernoff-type bound for finite Markov chains
• Random Walk: A Modern Introduction
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