The mean field theory of spin glasses: the heuristic replica approach and recent rigorous results

DOI10.1007/s11005-009-0317-4zbMath1375.82053arXiv0912.1127OpenAlexW3105104710WikidataQ57338422 ScholiaQ57338422MaRDI QIDQ835676

Giorgio Parisi

Publication date: 31 August 2009

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.1127

zbMATH Keywords

random Schrödinger operatorsdisordered systemslarge deviationsmean field theory of spin glassesrandom Ising models

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) Large deviations (60F10) Random linear operators (47B80) Applications of functional analysis in statistical physics (46N55)

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