Local single ring theorem on optimal scale

Girko, V. L.: The circular law

1984

Earlier work this paper cites.

Diaconis, P., Shahshahani, M.: The subgroup algorithm for generating uniform random variables , Probab. Engrg. Inform. Sci. 1(01)

1987

Earlier work this paper cites.

Bercovici, H, Voiculescu, D.: Free convolution of measures with unbounded support , Indiana Univ. Math. J. 42

1993

Earlier work this paper cites.

Voiculescu, D.: The analogues of entropy and of Fisher’s information theory in free probability theory, I , Comm. Math. Phys. 155

1993

Earlier work this paper cites.

Feinberg, J., Zee, A.: Non-Gaussian non-Hermitian random matrix theory: phase transition and addition formalism

1997

Earlier work this paper cites.

Biane, P.: Process with free increments , Math. Z. 227(1)

1998

Earlier work this paper cites.

Haagerup, U., Larsen, F.: Brown’s spectral distribution measure for R-diagonal elements in finitevon Neumann algebras

2000

Earlier work this paper cites.

Maassen, H.: Addition of freely independent random variables

2000

Earlier work this paper cites.

Pastur, L., Vasilchuk, V.: On the law of addition of random matrices , Comm. Math. Phys. 214.2

2000

Earlier work this paper cites.

Ledoux, M.: The Concentration of Measure Phenomenon

2001

Earlier work this paper cites.

Belinschi, S.: A note on regularity for free convolutions, Ann. Inst. Henri Poincaré Probab. Stat. 42(5)

2006

Earlier work this paper cites.

Belinschi, S., Bercovici, H.: A new approach to subordination results in free probability , J. Anal. Math. 101(1)

2007

Earlier work this paper cites.

Mezzadri, F.: How to generate random matrices from the classical compact groups , Notices Amer. Math. Soc. 54(5)

2007

Earlier work this paper cites.

Belinschi, S.: The Lebesgue decomposition of the free additive convolution of two probability distributions , Probab. Theory Related Fields 142(1-2)

2008

Cited alongside, same era.

Erdős, L., Schlein, B., Yau, H.-T.: Local semicircle law and complete delocalization for Wigner random matrices. Comm. Math. Phys. 287

2009

Cited alongside, same era.

Anderson, G., Guionnet, A., Zeitouni, O.: An Introduction to Random Matrices , Cambridge Stud. Adv. Math. 118

2010

Cited alongside, same era.

Tao, T., Vu, V.: Random matrices: universality of ESDs and the circular law , with an appendix by Krishnapur, M., Ann. Probab., 38(5)

2010

Cited alongside, same era.

Chistyakov, G. P., Götze, F.: The arithmetic of distributions in free probability theory , Cent. Euro. J. Math. 9

2011

Cited alongside, same era.

Bourgade, P., Yau, H.-T., Yin, J.: The local circular law II: the edge case , Probab. Theory Related Fields 159(3-4)

2014

Later among the works it cites.

Rudelson, M., Vershynin, R.: Invertibility of random matrices: unitary and orthogonal perturbations , J. Amer. Math. Soc. 27(2)

2014

Later among the works it cites.

Yin, J.: The local circular law III: general case , Probab. Theory Related Fields 160(3-4)

2014

Later among the works it cites.

Benaych-Georges, F.: Exponential bounds for the support convergence in the single ring theorem , J. Funct. Anal. 268

2015

Later among the works it cites.

Erdős, L.: Random matrices, log-gases and Hölder regularity

2015

Later among the works it cites.

Kargin, V.: Subordination for the sum of two random matrices , Ann. Probab. 43(4)