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We show the density of eigenvalues for three classes of random matrix ensembles is determinantal.
Statistical theory of the energy levels of complex systems. I
Freeman J. Dyson · 1962
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Statistical ensembles of complex, quaternion, and real matrices
Jean Ginibre · 1965
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An introduction to multivariate statistics
Muni Shanker Srivastava and C. G. Khatri · 1979
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Aspects of multivariate statistical theory
Robb J. Muirhead · 1982
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Eigenvalues and condition numbers of random matrices
Edelman, Alan Stuart · 1989
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Determinantal random point fields
A. Soshnikov · 2000
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Truncations of random unitary matrices
Karol Życzkowski and Hans-Jürgen Sommers · 2000
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Universal results from an alternate random-matrix model for qcd with a baryon chemical potential
James C. Osborn · 2004
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Determinantal processes and independence
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M. Krishnapur · 2006
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I. S. Gradshteyn and I. M. Ryzhik · 2007
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Zeros of Gaussian analytic functions and determinantal point processes
J. Ben Hough, Manjunath Krishnapur, Yuval Peres, and Bálint Virág · 2009
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Greg W. Anderson, Alice Guionnet, and Ofer Zeitouni · 2010
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P. J. Forrester · 2010
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Friedrich Götze and Alexander Tikhomirov · 2011
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Sean O’Rourke and Alexander Soshnikov · 2011
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Universal microscopic correlation functions for products of independent ginibre matrices
G. Akemann and Z. Burda · 2012
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Products of rectangular random matrices: Singular values and progressive scattering
G. Akemann, J. R. Ipsen, and M. Keiburg · 2013
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Singular value correlation functions for products of wishart random matrices
G. Akemann, M. Keiburg, and L. Wei · 2013
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Zdzislaw Burda, Maciej A. Nowak, Andrzej Jarosz, Giacomo Livan, and Artur Swiech · 2011
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Meijer G G -functions: a gentle introduction
Richard Beals and Jacek Szmigielski · 2013
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Products of independent quaternion Ginibre matrices and their correlation functions
J. R. Ipsen · 2013
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