The generalized Parisi formula

DOI10.1016/S1631-073X(03)00268-1zbMath1030.60093MaRDI QIDQ1408242

Michel Talagrand

Publication date: 15 September 2003

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

zbMATH Keywords

spin glassesSherrington-Kirkpatrick 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

Parisi measures, Exact solution of the gauge symmetric \(p\)-spin glass model on a complete graph, The marginally stable Bethe lattice spin glass revisited, The Ghirlanda-Guerra identities, Structural properties of the disordered spherical and other mean field spin models, Interpolation and Comparison Methods in the Mean Field Spin Glass Model, On Guerra's broken replica-symmetry bound., On the meaning of Parisi's functional order parameter., FREE ENERGY IN THE GENERALIZED SHERRINGTON–KIRKPATRICK MEAN FIELD MODEL, The Ising-Sherrington-Kirpatrick model in a magnetic field at high temperature, Bounds for diluted mean-fields spin glass models, Disordered fermions on lattices and their spectral properties, TYPICAL PROPERTIES OF LARGE RANDOM ECONOMIES WITH LINEAR ACTIVITIES, Variational bounds for the generalized random energy model, Eigenspace stability conditions in mean-field replica theories

Cites Work

• Unnamed Item
• Multiple levels of symmetry breaking
• Broken replica symmetry bounds in the mean field spin glass model