Tridiagonal realization of the antisymmetric Gaussian β-ensemble

DOI10.1063/1.3486071zbMath1309.81071arXiv0904.2216OpenAlexW3105083847MaRDI QIDQ5245802

Ioana Dumitriu, Peter J. Forrester

Publication date: 15 April 2015

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

Full work available at URL: https://arxiv.org/abs/0904.2216

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum chaos (81Q50) Eigenvalues, singular values, and eigenvectors (15A18) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Random matrices (algebraic aspects) (15B52) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items

Hermitian and non-Hermitian perturbations of chiral Gaussian β-ensembles, The singular values of the GOE, The singular values of the GUE (less is more), Edge scaling of the \(\beta\)-Jacobi ensemble, Dyson’s disordered linear chain from a random matrix theory viewpoint, The classical β-ensembles with β proportional to 1/N: From loop equations to Dyson’s disordered chain, Discrete integrable systems and random Lax matrices, Correlated disorder in the SYK₂ model

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