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A limit theorem for \(N_{0n}/n\) in first-passage percolation

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Publication:1060500
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DOI10.1214/aop/1176993142zbMath0568.60098OpenAlexW1970259393MaRDI QIDQ1060500

Yi Ci Zhang, Y. Zhang

Publication date: 1984

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176993142


zbMATH Keywords

passage timefirst-passage percolationselfavoiding


Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Limit theorems in probability theory (60F99)


Related Items (9)

Brownian asymptotics in a Poissonian environment ⋮ Supercritical behaviors in first-passage percolation ⋮ Limit theorems for the spread of epidemics and forest fires ⋮ Size of a minimal cutset in supercritical first passage percolation ⋮ Nondifferentiability of the time constants of first-passage percolation ⋮ Empirical Measures, Geodesic Lengths, and a Variational Formula in First-Passage Percolation ⋮ Overall properties of a discrete membrane with randomly distributed defects ⋮ Fluctuation lower bounds in planar random growth models ⋮ The tortuosity of occupied crossings of a box in critical percolation




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