Theorem Relating the Eigenvalue Density for Random Matrices to the Zeros of the Classical Polynomials

DOI10.1063/1.1704086zbMath0151.34201OpenAlexW2085326050MaRDI QIDQ5530504

Burt V. Bronk

Publication date: 1964

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

Full work available at URL: https://doi.org/10.1063/1.1704086

zbMATH Keywords

theoretical physics

Related Items

Spectral properties of solutions of hypergeometric-type differential equations ⋮ On the zeros of eigenfunctions of polynomial differential operators ⋮ On the exact distributions of the extreme roots of the Wishart and MANOVA matrices ⋮ On concentration of high-dimensional matrices with randomly signed entries ⋮ Recursion for the smallest eigenvalue density of \(\beta \)-Wishart-Laguerre ensemble ⋮ A universality result for the smallest eigenvalues of certain sample covariance matrices ⋮ The spectrum of Jacobi matrices in terms of its associated weight function ⋮ Limit Theorems for Two Classes of Random Matrices with Dependent Entries ⋮ Distributions of zeros of discrete and continuous polynomials from their recurrence relation

Cites Work

• On the distribution of the roots of certain symmetric matrices
• Statistical Theory of the Energy Levels of Complex Systems. I

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