Generalized Ensemble of Random Matrices

DOI10.1103/PhysRevLett.73.1497zbMath1020.82580arXivcond-mat/9403085OpenAlexW2045454519WikidataQ74550972 ScholiaQ74550972MaRDI QIDQ4492217

Moshe Moshe, Boris Shapiro, Herbert Neuberger

Publication date: 16 July 2000

Published in: Physical Review Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9403085

Mathematics Subject Classification ID

Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)

Related Items (19)

From Gumbel to Tracy-Widom ⋮ Noninteracting fermions in a trap and random matrix theory ⋮ Free fermions andα-determinantal processes ⋮ Gaussian and non-Gaussian fluctuations for mesoscopic linear statistics in determinantal processes ⋮ Uniform tail asymptotics for Airy kernel determinant solutions to KdV and for the narrow wedge solution to KPZ ⋮ Lower tail of the KPZ equation ⋮ Asymptotics of free fermions in a quadratic well at finite temperature and the Moshe-Neuberger-Shapiro random matrix model ⋮ Hard edge limit of the product of two strongly coupled random matrices ⋮ On the integrable structure of deformed sine kernel determinants ⋮ Spectral correlations in the crossover between GUE and Poisson regularity: On the identification of scales ⋮ Non-interacting fermions in hard-edge potentials ⋮ Chiral random matrix model for critical statistics ⋮ Embedded random matrix ensembles for complexity and chaos in finite interacting particle systems ⋮ Product matrix processes for coupled multi-matrix models and their hard edge scaling limits ⋮ Free fermions and the classical compact groups ⋮ Airy kernel determinant solutions to the KdV equation and integro-differential Painlevé equations ⋮ Localisation in 2+1 dimensional SU(3) pure gauge theory at finite temperature ⋮ CHERN–SIMONS THEORY, EXACTLY SOLVABLE MODELS AND FREE FERMIONS AT FINITE TEMPERATURE ⋮ Circulant L-ensembles in the thermodynamic limit

Cites Work

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• String theory on the one-dimensional lattice
• Chaos in classical and quantum mechanics
• Planar diagrams
• Universality of the correlations between eigenvalues of large random matrices.
• The planar approximation. II
• The Threefold Way. Algebraic Structure of Symmetry Groups and Ensembles in Quantum Mechanics
• Vortex-antivortex sector of one-dimensional string theory via the upside-down matrix oscillator

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