Critical large deviations in harmonic crystals with long-range interactions

DOI10.1214/aop/1008956329zbMath1021.60022OpenAlexW1569604497MaRDI QIDQ1872184

Jean-Dominique Deuschel, Pietro Caputo

Publication date: 6 May 2003

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

Full work available at URL: https://doi.org/10.1214/aop/1008956329

Mathematics Subject Classification ID

Gaussian processes (60G15) Large deviations (60F10) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Stable stochastic processes (60G52)

Cites Work

• The range of stable random walks
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• Invariance principle and empirical mean large deviations of the critical Ornstein-Uhlenbeck process
• Symmetric Markov processes
• Critical large deviations for Gaussian fields in the phase transition regime. I
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• Intrinsic ultracontractivity and conditional gauge for symmetric stable processes
• Entropic repulsion of the lattice free field
• Large deviations and variational principle for harmonic crystals
• Random walks and Riesz kernels
• Some Theorems on Stable Processes
• Rigorous probabilistic analysis of equilibrium crystal shapes
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