Spin distributions for generic spherical spin glasses

DOI10.1214/22-EJP755zbMath1487.82005arXiv1907.03847OpenAlexW4214763766MaRDI QIDQ2119690

Arka Adhikari

Publication date: 30 March 2022

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.03847

zbMATH Keywords

spin glassesinvariance principlespin distributions

Mathematics Subject Classification ID

Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Cites Work

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• Free energy of the spherical mean field model
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• The geometry of the Gibbs measure of pure spherical spin glasses
• On spin distributions for generic \(p\)-spin models
• The Parisi ultrametricity conjecture
• The Parisi formula has a unique minimizer
• The extremal process of critical points of the pure \(p\)-spin spherical spin Glass model
• The Parisi formula
• Replica symmetry breaking and the nature of the spin glass phase
• The Sherrington-Kirkpatrick Model

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