On the level density of random band matrices

DOI10.1007/BF01158263zbMath0778.60008OpenAlexW1997951885MaRDI QIDQ1308607

Leonid Pastur, Stanislav Alekseevich Molchanov, Leonid V. Bogachev

Publication date: 6 December 1993

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01158263

zbMATH Keywords

asymptotic behavior of the density of the states of band random matricesband random matrix

Mathematics Subject Classification ID

Eigenvalue problems for linear operators (47A75) Random matrices (algebraic aspects) (15B52) Distribution theory (60E99)

Related Items (12)

CLT for non-Hermitian random band matrices with variance profiles ⋮ On the local eigenvalue statistics for random band matrices in the localization regime ⋮ On fluctuations for random band Toeplitz matrices ⋮ Evidence of the Poisson/Gaudin–Mehta phase transition for band matrices on global scales ⋮ Diluted banded random matrices: scaling behavior of eigenfunction and spectral properties ⋮ Finite-Rank Complex Deformations of Random Band Matrices: Sigma-Model Approximation ⋮ Limit distribution of eigenvalues for random Hankel and Toeplitz band matrices ⋮ Limit distributions of eigenvalues for random block Toeplitz and Hankel matrices ⋮ Random matrices with exchangeable entries ⋮ Circular law for random block band matrices with genuinely sublinear bandwidth ⋮ On the level density of random band matrices ⋮ Universality of the second mixed moment of the characteristic polynomials of the 1D band matrices: Real symmetric case

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• The strong limits of random matrix spectra for sample matrices of independent elements
• On the level density of random band matrices
• Scaling properties of band random matrices
• Random Matrices in Physics
• The Dynamics of a Disordered Linear Chain
• A symptotic formulae relating to the physical theory of crystals

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