Circular law for random matrices with unconditional log-concave distribution

Statistical ensembles of complex, quaternion, and real matrices

J. Ginibre · 1965

Earlier work this paper cites.

Random matrices and the statistical theory of energy levels

M. L. Mehta · 1967

Earlier work this paper cites.

Convex measures on locally convex spaces

C. Borell · 1974

Earlier work this paper cites.

Slicing convex bodies—bounds for slice area in terms of the body’s covariance

D. Hensley · 1980

Earlier work this paper cites.

The circle law

V. L. Girko · 1983

Earlier work this paper cites.

A topological application of the isoperimetric inequality

M. Gromov and V. D. Milman · 1983

Earlier work this paper cites.

An isoperimetric theorem on the cube and the Kintchine-Kahane inequalities

M. Talagrand · 1988

Earlier work this paper cites.

Isotropic position and inertia ellipsoids and zonoids of the unit ball of a normed n n -dimensional space

V. D. Milman and A. Pajor · 1989

Earlier work this paper cites.

Isoperimetric problems for convex bodies and a localization lemma

R. Kannan, L. Lovász, and M. Simonovits · 1995

Earlier work this paper cites.

Circular law

Z. D. Bai · 1997

Earlier work this paper cites.

Non-Gaussian non-Hermitian random matrix theory: phase transition and addition formalism

J. Feinberg and A. Zee · 1997

Earlier work this paper cites.

Sur les inégalités de Sobolev logarithmiques

C. Ané, S. Blachère, D. Chafaï, P. Fougères, I. Gentil, F. Malrieu, C. Roberto, and G. Scheffer · 2000

Earlier work this paper cites.

The concentration of measure phenomenon

M. Ledoux · 2001

Earlier work this paper cites.

On convex bodies and log-concave probability measures with unconditional basis

S. G. Bobkov and F. L. Nazarov · 2003

Earlier work this paper cites.

The strong circular law. Twenty years later. I

V. L. Girko · 2004

Cited alongside, same era.

Some estimates of norms of random matrices

R. Latała · 2005

Cited alongside, same era.

Smallest singular value of random matrices and geometry of random polytopes

A. E. Litvak, A. Pajor, M. Rudelson, and N. Tomczak-Jaegermann · 2005

Cited alongside, same era.

Smoothed analysis of the condition numbers and growth factors of matrices

A. Sankar, D. A. Spielman, and S.-H. Teng · 2006

Cited alongside, same era.

The Littlewood-Offord problem and invertibility of random matrices

M. Rudelson and R. Vershynin · 2008

Cited alongside, same era.

Approximation of Haar distributed matrices and limiting distributions of eigenvalues of Jacobi ensembles

T. Jiang · 2009

Cited alongside, same era.

Invariances in variance estimates

Original

F. Barthe and D. Cordero-Erausquin · 2011

Later among the works it cites.

Spectrum of non-Hermitian heavy tailed random matrices

C. Bordenave, P. Caputo, and D. Chafaï · 2011

Later among the works it cites.

The single ring theorem

A. Guionnet, M. Krishnapur, and O. Zeitouni · 2011

Later among the works it cites.

Some remarks on the Dozier-Silverstein theorem for random matrices with dependent entries

R. Adamczak · 2012

Later among the works it cites.

Condition number of a square matrix with i.i.d. columns drawn from a convex body

R. Adamczak, O. Guédon, A. E. Litvak, A. Pajor, and N. Tomczak-Jaegermann · 2012

Later among the works it cites.

Circular law theorem for random Markov matrices

C. Bordenave, P. Caputo, and D. Chafaï · 2012