A transportation approach to the mean-field approximation

DOI10.1007/s00440-021-01056-2zbMath1478.60097arXiv1903.08021OpenAlexW3158725502MaRDI QIDQ2032418

Fanny Augeri

Publication date: 11 June 2021

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.08021

zbMATH Keywords

Ising modellarge deviationsGibbs measuresmean-field approximationtransportation inequalities

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Large deviations (60F10)

Related Items (5)

Upper tails via high moments and entropic stability ⋮ Taming correlations through entropy-efficient measure decompositions with applications to mean-field approximation ⋮ Fluctuations in mean-field Ising models ⋮ The upper tail problem for induced 4‐cycles in sparse random graphs ⋮ Intrinsic dimensional functional inequalities on model spaces

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