On Guerra's broken replica-symmetry bound.

DOI10.1016/j.crma.2003.09.001zbMath1138.82326OpenAlexW1966999485MaRDI QIDQ1415532

Michel Talagrand

Publication date: 4 December 2003

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.2003.09.001

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)

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Fluctuations of the free energy in the mixed \(p\)-spin models with external field, Spectral gap estimates in mean field spin glasses, Extending the Parisi formula along a Hamilton-Jacobi equation, Shattering versus metastability in spin glasses, The Parisi formula for mixed \(p\)-spin models, FREE ENERGY IN THE GENERALIZED SHERRINGTON–KIRKPATRICK MEAN FIELD MODEL, The Sherrington-Kirkpatrick model: an overview, Bounds for diluted mean-fields spin glass models

Cites Work

• The generalized Parisi formula
• Broken replica symmetry bounds in the mean field spin glass model
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