Solvable Matrix Models

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V. A. Kazakov This is my paper · ORCID

classification hep-th

keywords degreesfreedomintegralsmatrixmethodsmodelsmulti-matrixnumber

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We review some old and new methods of reduction of the number of degrees of freedom from ~N^2 to ~N in the multi-matrix integrals.

Forward citations

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Statistical physics of deep learning: Optimal learning of a multi-layer perceptron near interpolation
stat.ML 2025-10 conditional novelty 8.0 of 10

A replica/HCIZ theory predicts the Bayes-optimal generalization error of proportional-width MLPs near interpolation and discovers layer-wise specialization transitions that make deeper targets harder to learn.
Phases in WLZZ Matrix Models
hep-th 2025-07 conditional novelty 6.0 of 10

For WLZZ two-matrix models, integration contours describe only a finite-N subspace of Ward identity solutions, and the full solution space is recovered only in the N-to-infinity limit.