A hierarchical version of the de Finetti and Aldous-Hoover representations

DOI10.1007/s00440-013-0521-0zbMath1306.60027arXiv1301.1259OpenAlexW2076073007MaRDI QIDQ398784

Dmitriy Panchenko, Tim D. Austin

Publication date: 15 August 2014

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

Full work available at URL: https://arxiv.org/abs/1301.1259

zbMATH Keywords

spin glassesexchangeabilityde Finetti's theoremrandom arraysAldous-Hoover representations

Mathematics Subject Classification ID

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

Related Items

Structure of finite-RSB asymptotic Gibbs measures in the diluted spin glass models, A representation of exchangeable hierarchies by sampling from random real trees, Relative exchangeability with equivalence relations, RELATIVELY EXCHANGEABLE STRUCTURES, Local exchangeability, Improved replica bounds for the independence ratio of random regular graphs, 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, Unnamed Item, Relational exchangeability, A generalization of hierarchical exchangeability on trees to directed acyclic graphs, Hierarchical exchangeability of pure states in mean field spin glass models

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