The Aizenman-Sims-Starr and Guerra's schemes for the SK model with multidimensional spins

DOI10.1214/EJP.v14-611zbMath1205.60166arXiv0802.3467MaRDI QIDQ1039102

Anton Bovier, Anton Klimovsky

Publication date: 20 November 2009

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.3467

zbMATH Keywords

convexitySherrington-Kirkpatrick modelconcentration of measureParisi formulaParisi functionalGaussian spinsmultidimensional spinsquenched large deviations

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) Large deviations (60F10)

Related Items (8)

On Gaussian spin glass with P-wise interactions ⋮ Nonconvex interactions in mean-field spin glasses ⋮ Spectral gap estimates in mean field spin glasses ⋮ Antiferromagnetic Potts model on the Erdős-Rényi random graph ⋮ A multi-scale spin-glass mean-field model ⋮ Multi-species mean field spin glasses. Rigorous results ⋮ On the unbalanced cut problem and the generalized Sherrington-Kirkpatrick model ⋮ A dynamic programming approach to the Parisi functional

This page was built for publication: The Aizenman-Sims-Starr and Guerra's schemes for the SK model with multidimensional spins