Deviations for the capacity of the range of a random walk

DOI10.1214/20-EJP560zbMath1470.60075arXiv1807.02325OpenAlexW3117576662MaRDI QIDQ2042645

Amine Asselah, Bruno Schapira

Publication date: 21 July 2021

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

Full work available at URL: https://arxiv.org/abs/1807.02325

zbMATH Keywords

capacitylarge deviationsrandom walkmoderate deviations

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50)

Related Items (7)

Central limit theorem for the capacity of the range of stable random walks ⋮ Large deviations of the range of the planar random walk on the scale of the mean ⋮ Large Deviations for Intersections of Random Walks ⋮ Convergence in law for the capacity of the range of a critical branching random walk ⋮ The chemical distance in random interlacements in the low-intensity regime ⋮ Invariance principle for the capacity and the cardinality of the range of stable random walks ⋮ The two regimes of moderate deviations for the range of a transient walk

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