Renormalizing rectangles and other topics in random matrix theory

DOI10.1007/BF02181233zbMath0937.82025arXivcond-mat/9609190MaRDI QIDQ1284996

Joshua Feinberg, A. Zee

Publication date: 6 June 2000

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9609190

zbMATH Keywords

central limit theoremrandom matrix theorylarge-\(N\) limitDirac operators in random backgroundslarge-\(N\) renormalization grouprandom matrices with chiral block structuretransport in disordered conductors

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Random operators and equations (aspects of stochastic analysis) (60H25) 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)

Related Items (6)

Large \(N\) matrix hyperspheres and the gauge-gravity correspondence ⋮ Ensemble averaging in JT gravity from entanglement in matrix quantum mechanics ⋮ Unnamed Item ⋮ Random tensor theory: Extending random matrix theory to mixtures of random product states ⋮ “Single ring theorem” and the disk-annulus phase transition ⋮ Dynamics of disordered mechanical systems with large connectivity, free probability theory, and quasi-Hermitian random matrices

Cites Work

• Characteristic vectors of bordered matrices with infinite dimensions. II
• Supersymmetry applied to the spectrum edge of random matrix ensembles
• Asymptotic correlations at the spectrum edge of random matrices
• Planar diagrams
• Law of addition in random matrix theory
• The spectrum of the Dirac operator near zero virtuality for \(N_ c=2\) and chiral random matrix theory.
• The planar approximation. II
• Unnamed Item

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