Sylvester index of random Hermitian matrices

DOI10.1007/S10959-022-01232-7OpenAlexW4319072863MaRDI QIDQ6204805

Mohamed Bouali, Jacques Faraut

Publication date: 2 April 2024

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10959-022-01232-7

zbMATH Keywords

eigenvaluerandom matrixSylvester indexlog gas method

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Random matrices (algebraic aspects) (15B52) Approximation with constraints (41A29)

Cites Work

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• On \(\beta\)-matrix models with singular potential
• Zeros of generalized Hermite polynomials and ensemble of Gaussian random matrices
• Large deviations of the shifted index number in the Gaussian ensemble
• Index distribution of Cauchy random matrices

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