On the distribution of the overlaps at given disorder

DOI10.1016/j.crma.2004.06.014zbMath1069.82007OpenAlexW2069717290MaRDI QIDQ1887028

Michel Talagrand, Giorgio Parisi

Publication date: 23 November 2004

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2004.06.014

zbMATH Keywords

spin glassesGhirlanda-Guerra identitiesoverlap parameter

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) 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

Small perturbations of a spin glass system, Large deviations, Guerra's and A.S.S. Schemes, and the Parisi hypothesis, An ultrametric state space with a dense discrete overlap distribution: paperfolding sequences, Notes on the polynomial identities in random overlap structures, A unified stability property in spin glasses, Free energy in the Potts spin Glass, Construction of pure states in mean field models for spin glasses, The free energy in a multi-species Sherrington-Kirkpatrick model, A remark on the infinite-volume Gibbs measures of spin glasses, Ergodicity: How Can It Be Broken?

Cites Work

• Rigorous low-temperature results for the mean field \(p\)-spins interaction model
• General properties of overlap probability distributions in disordered spin systems. Towards Parisi ultrametricity
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