Large deviations for the largest eigenvalue of rank one deformations of Gaussian ensembles.
Maida, Mylène (2007)
Electronic Journal of Probability [electronic only]
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Maida, Mylène (2007)
Electronic Journal of Probability [electronic only]
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Frédéric Klopp (2011-2012)
Séminaire Laurent Schwartz — EDP et applications
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In the present note, we review some recent results on the spectral statistics of random operators in the localized phase obtained in []. For a general class of random operators, we show that the family of the unfolded eigenvalues in the localization region considered jointly with the associated localization centers is asymptotically ergodic. This can be considered as a generalization of []. The benefit of the present approach is that one can vary the scaling of the unfolded eigenvalues...
Soshnikov, Alexander (2004)
Electronic Communications in Probability [electronic only]
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Abbott, John, Mulders, Thom (2001)
Experimental Mathematics
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Tómács, Tibor (2008)
Annales Mathematicae et Informaticae
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Kargin, Vladislav (2009)
Electronic Communications in Probability [electronic only]
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Bernard Bercu, Fabrice Gamboa, Marc Lavielle (2000)
ESAIM: Probability and Statistics
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Bai, Zhi-Dong, Hwang, Hsien-Kuei, Tsai, Tsung-Hsi (2003)
Electronic Journal of Probability [electronic only]
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Cameron, Peter, Prellberg, Thomas, Stark, Dudley (2006)
The Electronic Journal of Combinatorics [electronic only]
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Fan, Aihua, Kahane, J. P. (2001)
Portugaliae Mathematica. Nova Série
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Chatterjee, Sourav, Ledoux, Michel (2009)
Electronic Communications in Probability [electronic only]
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