Universal wide correlators in non-Gaussian orthogonal, unitary and symplectic random matrix ensembles

DOI10.1016/S0550-3213(97)00158-2zbMath0933.82002arXivcond-mat/9611214MaRDI QIDQ678548

Chigak Itoi

Publication date: 24 April 1997

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9611214

zbMATH Keywords

algorithmeigenvalue distributionGreen functionloop equationlarge \(N\) limitdisordered systemorthogonal algebra

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Classical equilibrium statistical mechanics (general) (82B05)

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Cites Work

• Unnamed Item
• Correlations of nearby levels induced by a random potential
• Higher genus correlators for the Hermitian matrix model with multiple cuts
• Universality of the correlations between eigenvalues of large random matrices.
• Matrix model calculations beyond the spherical limit.
• Regularization of one-matrix models
• Replica method for wide correlators in Gaussian orthogonal, unitary and symplectic random matrix ensembles