Scaling limits for weakly pinned Gaussian random fields under the presence of two possible candidates

DOI10.2969/jmsj/06741359zbMath1334.60205arXiv1406.7766OpenAlexW1553259140MaRDI QIDQ904196

Erwin Bolthausen, Taizo Chiyonobu, Tadahisa Funaki

Publication date: 12 January 2016

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.7766

zbMATH Keywords

minimizersinterface modellarge deviationspinningscaling limitsGaussian random fields

Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Large deviations (60F10) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)

Cites Work

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• Large deviations and concentration properties for \(\nabla_\varphi \) interface models
• The construction of the \(d+1\)-dimensional Gaussian droplet
• Dynamic approach to a stochastic domination: The FKG and Brascamp-Lieb inequalities
• Scaling limits for weakly pinned random walks with two large deviation minimizers

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