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Large deviations of the finite cluster shape for two-dimensional percolation in the Hausdorff and \(L^1\) metric

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Publication:1582130
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DOI10.1023/A:1007841407417zbMath0974.60089OpenAlexW1259406899MaRDI QIDQ1582130

Raphaël Cerf

Publication date: 3 December 2001

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

Full work available at URL: https://doi.org/10.1023/a:1007841407417


zbMATH Keywords

large deviationsrandom setsWulff constructionsupercritical percolation


Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Large deviations (60F10) Percolation (82B43)


Related Items (3)

Formation of Facets for an Effective Model of Crystal Growth ⋮ Unnamed Item ⋮ A large deviation result for the subcritical Bernoulli percolation







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