Large deviations for the \(\nabla\varphi\) interface model with self potentials

DOI10.3792/pjaa.85.31zbMath1166.60020OpenAlexW2049335158WikidataQ114023233 ScholiaQ114023233MaRDI QIDQ1030575

Tatsushi Otobe

Publication date: 2 July 2009

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.85.31

zbMATH Keywords

interface modellarge deviation principleself potential

Mathematics Subject Classification ID

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

Related Items (1)

Law of large numbers for Wiener measure with density having two large deviation minimizers

Cites Work

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• Law of large numbers for Wiener measure with density having two large deviation minimizers
• Concentration under scaling limits for weakly pinned Gaussian random walks
• Pinning of an interface by a weak potential
• Non-Gaussian surface pinned by a weak potential
• Large deviations and concentration properties for \(\nabla_\varphi \) interface models
• The construction of the \(d+1\)-dimensional Gaussian droplet
• Dichotomy in a scaling limit under Wiener measure with density
• Rigorous probabilistic analysis of equilibrium crystal shapes

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