SU\G(𝔸)/K·U

From the Littlewood-Offord problem to the Circular Law: universality of the spectral distribution of random matrices

Terence Tao, Van Vu

Type: Preprint

Publication Date: 2008-01-01

Citations: 0

DOI: https://doi.org/10.48550/arxiv.0810.2994

Locations

  • arXiv (Cornell University) - View
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  • arXiv (Cornell University) - View
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  • arXiv (Cornell University) - View
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Works Cited by This (31)

Action Title Year Authors
+ Universality for mathematical and physical systems 2006 Percy Deift
+ PDF The least singular value of a random square matrix is <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mi mathvariant="normal">O</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:msup><mml:mi>n</mml:mi><mml:mrow><mml:mo>−</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">/</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mo stretchy="false">)</mml:mo></mml:math> 2008 Mark Rudelson
Roman Vershynin
+ PDF Spectral Analysis of Large Dimensional Random Matrices 2009 Zhidong Bai
Jack W. Silverstein
+ On the Circular Law 2007 А. Н. Тихомиров
+ On the empirical distribution of eigenvalues of large dimensional information-plus-noise-type matrices 2006 R. Brent Dozier
Jack W. Silverstein
+ On the Number of Real Roots of a Random Algebraic Equation 1938 J. E. Littlewood
A. C. Offord
+ PDF Eigenvalues and Condition Numbers of Random Matrices 1988 Alan Edelman
+ PDF Eine neue Herleitung des Exponentialgesetzes in der Wahrscheinlichkeitsrechnung 1922 J. W. Lindeberg
+ Statistical Ensembles of Complex, Quaternion, and Real Matrices 1965 J. Ginibre
+ PDF Weyl Groups, the Hard Lefschetz Theorem, and the Sperner Property 1980 Richard P. Stanley