Hierarchical exchangeability of pure states in mean field spin glass models

DOI10.1007/s00440-014-0555-yzbMath1320.60159arXiv1307.2207OpenAlexW2963569311MaRDI QIDQ2343027

Dmitriy Panchenko

Publication date: 4 May 2015

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

Full work available at URL: https://arxiv.org/abs/1307.2207

zbMATH Keywords

spin glassesexchangeabilitypure statesdiluted models

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) 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) Exchangeability for stochastic processes (60G09)

Related Items

Structure of finite-RSB asymptotic Gibbs measures in the diluted spin glass models, The marginally stable Bethe lattice spin glass revisited, Proof of the satisfiability conjecture for large \(k\), A hierarchical version of the de Finetti and Aldous-Hoover representations, Ultrametricity in spin glasses, Approximate Ultrametricity for Random Measures and Applications to Spin Glasses, Free energy in the mixed \(p\)-spin models with vector spins, Structure of 1-RSB asymptotic Gibbs measures in the diluted \(p\)-spin models, The full replica symmetry breaking in the Ising spin glass on random regular graph, A generalization of hierarchical exchangeability on trees to directed acyclic graphs, Thouless-Anderson-Palmer equations for generic \(p\)-spin glasses, Free energy of a diluted spin Glass model with quadratic Hamiltonian

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