On large deviation regimes for random media models

DOI10.1214/08-AAP535zbMath1171.60023arXiv0906.4254OpenAlexW3100648626MaRDI QIDQ1024906

Michael Craig Cranston, Daniel J. Gauthier, Thomas S. Mountford

Publication date: 17 June 2009

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

Full work available at URL: https://arxiv.org/abs/0906.4254

zbMATH Keywords

random medialarge deviationsFirst passage percolation

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Large deviations (60F10) Processes in random environments (60K37)

Related Items (9)

Maximal edge-traversal time in first-passage percolation ⋮ On large deviations for the parabolic Anderson model ⋮ Large deviations of the free energy in the O'Connell-Yor polymer ⋮ 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 ⋮ A Hsu-Robbins-Erdős strong law in first-passage percolation

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• An improved subadditive ergodic theorem
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• First-passage percolation, network flows and electrical resistances
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• On Increasing Subsequences of I.I.D. Samples
• A note on limiting behaviour of disastrous environment exponents

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