Random overlap structures: properties and applications to SPIN glasses

DOI10.1007/s00440-012-0431-6zbMath1275.82005arXiv1011.1823OpenAlexW2125399341MaRDI QIDQ1955844

Louis-Pierre Arguin, Sourav Chatterjee

Publication date: 19 June 2013

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

Full work available at URL: https://arxiv.org/abs/1011.1823

zbMATH Keywords

spin glassesstochastic stabilityultrametricityParisi formulaprobability measures on Hilbert spaces

Mathematics Subject Classification ID

Gaussian processes (60G15) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Random measures (60G57)

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Factorization properties in \(d\)-dimensional spin glasses. Rigorous results and some perspectives, Spin glass models from the point of view of spin distributions, Antiferromagnetic Potts model on the Erdős-Rényi random graph, The endpoint distribution of directed polymers, A unified stability property in spin glasses, The Parisi formula for mixed \(p\)-spin models, The Sherrington-Kirkpatrick model: an overview, Short-range spin glasses and random overlap structures, Geometry of the Gibbs measure for the discrete 2D Gaussian free field with scale-dependent variance, Poisson-Dirichlet statistics for the extremes of a log-correlated Gaussian field

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