Large deviations in first-passage percolation

DOI10.1214/aoap/1069786513zbMath1038.60093OpenAlexW1987057244MaRDI QIDQ1429121

Yunshyong Chow, Y. Zhang

Publication date: 30 March 2004

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

Full work available at URL: https://doi.org/10.1214/aoap/1069786513

zbMATH Keywords

large deviationsfirst-passage percolationdynamics on graphsrandom variables on graphs

Mathematics Subject Classification ID

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

Related Items (12)

Large deviations for the chemical distance in supercritical Bernoulli percolation ⋮ On large deviations for the parabolic Anderson model ⋮ Upper large deviations for the maximal flow in first-passage percolation ⋮ Large deviations for the contact process in random environment ⋮ A variational formula for large deviations in first-passage percolation under tail estimates ⋮ Properties of the parabolic Anderson model and the Anderson polymer model ⋮ Large deviations for partition functions of directed polymers in an IID field ⋮ Harry Kesten's work in probability theory ⋮ On large deviation regimes for random media models ⋮ Upper-tail large deviation principle for the ASEP ⋮ Delocalization of polymers in lower tail large deviation ⋮ A Hsu-Robbins-Erdős strong law in first-passage percolation

Cites Work

• First-passage percolation on the square lattice
• Supercritical behaviors in first-passage percolation
• First-passage percolation, network flows and electrical resistances
• Probability
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