Fetching the paper…
Reading the bibliography…
We study the eigenvalues of non-normal square matrices of the form A_n=U_nT_nV_n with U_n,V_n independent Haar distributed on the unitary group and T_n real diagonal.
Brown, L. G., Lidskii’s theorem in the type II case
1983
Earlier work this paper cites.
Girko, V. L., The circular law
1984
Earlier work this paper cites.
Voiculescu, D., Limit laws for random matrices and free products
1991
Earlier work this paper cites.
Feinberg, J. and Zee, A., Non-Gaussian non-Hermitian random matrix theory: phase transition and addition formalism
1997
Earlier work this paper cites.
Nica, A. and Speicher, R., ℛ {\mathcal{R}} -diagonal pairs – a common approach to Haar unitaries and circular elements
1997
Cited alongside, same era.
Haagerup, U. and Larsen, F., Brown’s spectral distribution measure for R R -diagonal elements in finite von Neumann algebras
2000
Cited alongside, same era.
Rider, B., A limit theorem at the edge of a non-Hermitian random matrix ensemble
2003
Cited alongside, same era.
Haagerup, U. and Thorbjørnsen, S. A new application of random matrices: Ext ( C red ∗ ( F 2 ) ) {\rm Ext}(C^{*}_{\rm red}(F_{2})) is not a group
2005
Cited alongside, same era.
Guionnet. A, Large random matrices: lectures on macroscopic asymptotics
2006
Later among the works it cites.
Guionnet, A., Krishnapur, M. and Zeitouni, O., The single ring theorem
2009
Later among the works it cites.
Anderson, G. W., Guionnet, A. and Zeitouni, O., An introduction to random matrices
2010
Closest in time.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…