Generalized Gaussian Random Unitary Matrices Ensemble

zbMath1316.15039arXiv1409.0122MaRDI QIDQ5173298

Mohamed Bouali

Publication date: 9 February 2015

Full work available at URL: https://arxiv.org/abs/1409.0122

zbMATH Keywords

Laplace transformorthogonal polynomialseigenvaluesHermite polynomialsrandom matrix theoryprobability measuresasymptotic eigenvalues distributionWigner semi-circle lawChiral modelsGaussian self-adjoint random matrix

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Hermitian, skew-Hermitian, and related matrices (15B57) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Laplace transform (44A10) Random matrices (algebraic aspects) (15B52) Convergence of probability measures (60B10)

Related Items (3)

On the probability of positive-definiteness in the gGUE via semi-classical Laguerre polynomials ⋮ Zeros of generalized Hermite polynomials and ensemble of Gaussian random matrices ⋮ On \(\beta\)-matrix models with singular potential

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