Upper large deviations for the maximal flow through a domain of \(\mathbb R^{d}\) in first passage percolation

DOI10.1214/10-AAP732zbMath1261.60089arXiv0907.5499OpenAlexW3100592866MaRDI QIDQ657690

Marie Théret, Raphaël Cerf

Publication date: 10 January 2012

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

Full work available at URL: https://arxiv.org/abs/0907.5499

zbMATH Keywords

large deviationsfirst passage percolationminimal cutmaximal flow

Mathematics Subject Classification ID

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

Related Items (4)

Size of a minimal cutset in supercritical first passage percolation ⋮ Large deviations for the contact process in random environment ⋮ Maximal stream and minimal cutset for first passage percolation through a domain of \(\mathbb{R}^{d}\) ⋮ Existence and continuity of the flow constant in first passage percolation

Cites Work

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• First-passage percolation, network flows and electrical resistances
• Law of large numbers for the maximal flow through a domain of $\mathbb{R}^{d}$ in first passage percolation

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