Exchangeable random measures

DOI10.1214/13-AIHP584zbMath1323.60068arXiv1302.2116MaRDI QIDQ500792

Tim D. Austin

Publication date: 5 October 2015

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.2116

zbMATH Keywords

exchangeabilityrandom measuresdilute spin glass modelsDovbysh-Sudakov theorem

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) Random measures (60G57) Exchangeability for stochastic processes (60G09)

Related Items (13)

Structure of finite-RSB asymptotic Gibbs measures in the diluted spin glass models ⋮ A generalized Maxwell-Poincaré lemma and Wishart measures ⋮ Unnamed Item ⋮ A Deep Generative Approach to Conditional Sampling ⋮ On spin distributions for generic \(p\)-spin models ⋮ Chaos in temperature in generic \(2p\)-spin models ⋮ A representation for exchangeable coalescent trees and generalized tree-valued Fleming-Viot processes ⋮ Structure of 1-RSB asymptotic Gibbs measures in the diluted \(p\)-spin models ⋮ Unnamed Item ⋮ The Cut Metric for Probability Distributions ⋮ A generalization of hierarchical exchangeability on trees to directed acyclic graphs ⋮ Central measures of continuous graded graphs: the case of distinct frequencies ⋮ Hierarchical exchangeability of pure states in mean field spin glass models

Cites Work

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• Equilibrium states for mean field models
• The Sherrington-Kirkpatrick Model
• Operator-valued Semicircular Elements: Solving A Quadratic Matrix Equation with Positivity Constraints
• Probabilistic Symmetries and Invariance Principles

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