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We consider vector spin glasses whose energy function is a Gaussian random field with covariance given in terms of the matrix of scalar products.
Parisi’s formula is a Hamilton-Jacobi equation in Wasserstein space
J.-C. Mourrat · 1906
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Infinite number of order parameters for spin-glasses
G. Parisi · 1979
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A sequence of approximated solutions to the SK model for spin glasses
G. Parisi · 1980
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Spin glass theory and beyond: an introduction to the replica method and its applications
M. Mézard, G. Parisi, and M. Virasoro · 1987
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Nonconvex interactions in mean-field spin glasses
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A multi-scale spin-glass mean-field model
P. Contucci and E. Mingione · 2019
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Mean field models for spin glasses. Volume II
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Matrix theory
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Notes on the p-spin glass studied via Hamilton-Jacobi and smooth-cavity techniques
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Mean field spin glasses treated with PDE techniques
A. Barra, G. Del Ferraro, and D. Tantari · 2013
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Hamilton-Jacobi equations for finite-rank matrix inference
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Free energy of the quantum Sherrington-Kirkpatrick spin-glass model with transverse field
A. Adhikari and C. Brennecke · 2020
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