Two observations on the capacity of the range of simple random walks on \(\mathbb{Z} ^3\) and \(\mathbb{Z} ^4\)

DOI10.1214/17-ECP55zbMath1370.60041arXiv1611.08654OpenAlexW2557336188MaRDI QIDQ2627858

Yinshan Chang

Publication date: 1 June 2017

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

Full work available at URL: https://arxiv.org/abs/1611.08654

zbMATH Keywords

Brownian motioncapacityconvergence in distributionrangesimple random walks

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Brownian motion (60J65) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)

Related Items (10)

Capacity of the range of tree-indexed random walk ⋮ Central limit theorem for the capacity of the range of stable random walks ⋮ Capacity of the range of random walk on \(\mathbb{Z}^{4}\) ⋮ Asymptotic capacity of the range of random walks on free products of graphs ⋮ Invariance principle for the capacity and the cardinality of the range of stable random walks ⋮ Capacity of the range of random walks on groups ⋮ On the exact orders of critical value in finitary random interlacements ⋮ Capacity of the range in dimension 5 ⋮ Functional CLT for the range of stable random walks ⋮ Deviations for the capacity of the range of a random walk

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