Spontaneous Replica Symmetry Breaking and Interpolation Methods for Complex Statistical Mechanics Systems

DOI10.1007/978-3-319-17674-1_2zbMath1338.82068OpenAlexW1150356665MaRDI QIDQ2809484

Francesco Guerra

Publication date: 30 May 2016

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-17674-1_2

zbMATH Keywords

neural networksSherrington-Kirkpatrick modelinterpolation methodsmean field spin glassesmulti-species modelsspontaneous replica symmetry breaking

Mathematics Subject Classification ID

Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Symmetry breaking in quantum theory (81R40) Neural nets applied to problems in time-dependent statistical mechanics (82C32) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to statistical mechanics (82-01)

Related Items

Universal nature of replica symmetry breaking in quantum systems with Gaussian disorder, Zero-variance of perturbation Hamiltonian density in perturbed spin systems, Free energy of bipartite spherical Sherrington-Kirkpatrick model, The Legendre structure of the Parisi formula

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