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## DISTRIBUTION OF EIGENVALUES FOR SOME SETS OF RANDOM MATRICES

- V. Marčenko, L. Pastur
- Mathematics
- 30 April 1967

In this paper we study the distribution of eigenvalues for two sets of random Hermitian matrices and one set of random unitary matrices. The statement of the problem as well as its method of… Expand

## Spectra of Random and Almost-Periodic Operators

- L. Pastur, A. Figotin
- Mathematics
- 23 December 1991

I. Metrically Transitive Operators.- 1 Basic Definitions and Examples.- 1.A Random Variables, Functions and Fields.- 1.B Random Vectors and Operators.- l.C Metrically Transitive Random Fields.- l.D… Expand

## Introduction to the Theory of Disordered Systems

- I. M. Lifshit︠s︡, S. Gredeskul, L. Pastur, E. Yankovsky
- Physics
- 3 August 1988

General Properties of Disordered Systems. The Density of States in One-Dimensional Systems. States, Localization, and Conductivity in One-Dimensional Systems. The Fluctuation Region of the Spectrum.… Expand

## CENTRAL LIMIT THEOREM FOR LINEAR EIGENVALUE STATISTICS OF RANDOM MATRICES WITH INDEPENDENT ENTRIES

We consider n x n real symmetric and Hermitian Wigner random matrices n ―1/2 W with independent (modulo symmetry condition) entries and the (null) sample covariance matrices n ―1 X*X with independent… Expand

## Eigenvalue Distribution of Large Random Matrices

- L. Pastur, M. Shcherbina
- Mathematics
- 13 July 2011

Random matrix theory is a wide and growing field with a variety of concepts, results, and techniques and a vast range of applications in mathematics and the related sciences. The book, written by… Expand

## On the spectrum of random matrices

- L. Pastur
- Physics
- 1972

A study is made of the dis tr ibut ion of eigenvalues in a ce r ta in ensemble of random par t i c les that contains as a special case the ensemble used by Wlgner to give a s ta t i s t ica l descr… Expand

## Spectral properties of disordered systems in the one-body approximation

- L. Pastur
- Mathematics
- 1 June 1980

The paper considers the Schrödinger equation for a single particle and its discrete analogues. Assuming that the coefficients of these equations are homogeneous and ergodic random fields, it is… Expand

## Asymptotic properties of large random matrices with independent entries

- A. Khorunzhy, B. Khoruzhenko, L. Pastur
- Mathematics
- 24 June 1996

We study the normalized trace gn(z)=n−1 tr(H−zI)−1 of the resolvent of n×n real symmetric matrices H=[(1+δjk)Wjk√n]j,k=1n assuming that their entries are independent but not necessarily identically… Expand

## Universality of the local eigenvalue statistics for a class of unitary invariant random matrix ensembles

- L. Pastur, M. Shcherbina
- Mathematics
- 1997

This paper is devoted to the rigorous proof of the universality conjecture of random matrix theory, according to which the limiting eigenvalue statistics ofn×n random matrices within spectral… Expand

## Spectra of Random Self Adjoint Operators

- L. Pastur
- Mathematics
- 28 February 1973

This survey contains an exposition of the results obtained in the studying the spectra of certain classes of random operators. It consists of three chapters. In the introductory Chapter I we survey… Expand

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