Universality of Ghirlanda-Guerra identities and spin distributions in mixed \(p\)-spin models

DOI10.1214/18-AIHP890zbMath1412.82040arXiv1612.09250MaRDI QIDQ1733067

Yu-Ting Chen

Publication date: 20 March 2019

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/1612.09250

zbMATH Keywords

universalityGhirlanda-Guerra identitiesultrametricitymixed \(p\)-spin modelsViana-Bray diluted spin glass model

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)

Related Items (5)

Ultrametric identities in glassy models of natural evolution ⋮ Universality of replica-symmetry breaking in the transverse field Sherrington-Kirkpatrick model ⋮ On the universality of the superconcentration in mixed \(p\)-spin models ⋮ Absence of replica symmetry breaking in disordered FKG-Ising models under uniform field ⋮ On the ultrametricity property in random field Ising models

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