On universality of the smoothed eigenvalue density of large random matrices

Anne Boutet de Monvel, A. Khorunzhy

Type: Article

Publication Date: 1999-09-07

Citations: 4

DOI: https://doi.org/10.1088/0305-4470/32/38/101

Abstract

We describe the resolvent approach for the rigorous study of the mesoscopic regime of Hermitian matrix spectra. We present results reflecting universal behaviour of the smoothed density of the eigenvalue distribution of large random matrices.

Locations

Journal of Physics A Mathematical and General - View
arXiv (Cornell University) - View - PDF
DataCite API - View

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Works Cited by This (11)

Action	Title	Year	Authors
+	A Class of Matrix Ensembles	1972	Freeman J. Dyson
+ PDF Chat	Universality of the local eigenvalue statistics for a class of unitary invariant random matrix ensembles	1997	L. А. Pastur Mariya Shcherbina
+	On the Wigner law in dilute random matrices	1998	A. Khorunzhy G. J. Rodgers
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+ PDF Chat	Limits of infinite interaction radius, dimensionality and the number of components for random operators with off-diagonal randomness	1993	A. Khorunzhy L. А. Pastur
+	Statistical Theory of the Energy Levels of Complex Systems. I	1962	Freeman J. Dyson
+	DISTRIBUTION OF EIGENVALUES FOR SOME SETS OF RANDOM MATRICES	1967	V A Marčenko L. А. Pastur
+ PDF Chat	Asymptotic properties of large random matrices with independent entries	1996	A. Khorunzhy Boris A. Khoruzhenko L. А. Pastur
+	On the Eigenvalue distribution of the deformed Wigner ensemble of random matrices	1994	A. M. Khorunzhy and L. A. Pastur
+	Spectral Operator Theory and Related Topics	1994	V. А. Marchenko