Quadratic vector equations on complex upper half-plane

Einar Hille and Ralph S. Phillips, Functional Analysis and Semi-Groups , American Mathematical Society Colloquium Publications, vol. 31, Amer. Math. Soc., 1957

1957

Earlier work this paper cites.

Richard Sinkhorn, A relationship between arbitrary positive matrices and doubly stochastic matrices , Ann. Math. Statist. 35

1964

Earlier work this paper cites.

Richard Sinkhorn and Paul Knopp, Concerning nonnegative matrices and doubly stochastic matrices. , Pacific J. Math. 21

1967

Earlier work this paper cites.

Clifford J. Earle and Richard S. Hamilton, A Fixed Point Theorem for Holomorphic Mappings , Proc. Sympos. Pure Math. XVI

1970

Earlier work this paper cites.

Leonid A. Pastur, On the Spectrum of Random Matrices , Theor. Math. Phys. 10

1972

Earlier work this paper cites.

Felix A. Berezin, Some remarks on Wigner distribution , Theoret. Math. Phys. 3

1973

Earlier work this paper cites.

Franz J. Wegner, Disordered system with n n orbitals per site: n = ∞ n=\infty limit , Phys. Rev. B 19

Original

1979

Earlier work this paper cites.

Richard A. Brualdi and Herbert J. Ryser, Combinatorial Matrix Theory , Encyclopedia of Mathematics and its Applications, vol. 39, Cambridge University Press, 1991

1991

Earlier work this paper cites.

Jonathan M. Borwein, Adrian S. Lewis, and Roger D. Nussbaum, Entropy Minimization, DAD Problems, and Doubly Stochastic Kernels , J. Funct. Anal. 123

1994

Earlier work this paper cites.

A. M. Khorunzhy and Leonid A. Pastur, On the eigenvalue distribution of the deformed Wigner ensemble of random matrices , Spectral operator theory and related topics, Adv. Soviet Math., 19, Amer. Math. Soc., Providence, RI, 1994, pp. 97–127

1994

Earlier work this paper cites.

Dimitri Shlyakhtenko, Random Gaussian band matrices and freeness with amalgamation , Int. Math. Res. Notices (1996), no. 20, 1013–1015

1996

Earlier work this paper cites.

Ravindra B. Bapat and T. E. S. Raghavan, Nonnegative Matrices and Applications , Encyclopedia of mathematics and its applications, vol. 64, Cambridge University Press, 1997

1997

Earlier work this paper cites.

Édouard Brézin and Shinobu Hikami, Universal singularity at the closure of a gap in a random matrix theory , Phys. Rev. E 57

1998

Earlier work this paper cites.

Vyacheslav L. Girko, Theory of stochastic canonical equations. Vol. I , Mathematics and its Applications, vol. 535, Kluwer Academic Publishers, Dordrecht, 2001

2001

Cited alongside, same era.

Alice Guionnet, Large deviations upper bounds and central limit theorems for non-commutative functionals of Gaussian large random matrices , Annales de l’IHP Probabilités et statistiques 38

2002

Cited alongside, same era.

Greg Anderson and Ofer Zeitouni, A CLT for a band matrix model , Probab. Theory Related Fields 134

2005

Cited alongside, same era.

Richard Froese, David Hasler, and Wolfgang Spitzer, Absolutely Continuous Spectrum for the Anderson Model on a Tree: A Geometric Proof of Klein’s Theorem , Comm. Math. Phys. 269

2007

Cited alongside, same era.

John Garnett, Bounded Analytic Functions , Grad. Texts in Math., vol. 236, Springer, New York, 2007

2007

László Erdős, Antti Knowles, Horng-Tzer Yau, and Jun Yin, The local semicircle law for a general class of random matrices , Electron. J. Probab. 18

2013

Later among the works it cites.

Oskari Ajanki, László Erdős, and Torben Krüger, Local Spectral Statistics of Gaussian Matrices with Correlated Entries , Journal of Statistical Physics 163

2016

Closest in time.

Johannes Alt, László Erdős, and Torben Krüger, Local law for random gram matrices , Electron. J. Probab. 22

2017

Closest in time.

Johannes Alt, Singularities of the density of states of random gram matrices , Electron. Commun. Probab. 22

2017

Closest in time.

Johannes Alt, László Erdős, Torben Krüger, and Dominik Schröder, Correlated Random Matrices: Band Rigidity and Edge Universality , arXiv:1804.07744 (2018)

Original

2018

Closest in time.