Statistics of Real Eigenvalues in Ginibre's Ensemble of Random Real Matrices

Kanzieper E, Akemann G (2005)
Phys.Rev.Lett. 95(23): 230201.

Zeitschriftenaufsatz | Englisch
 
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DOI
Autor*in
Kanzieper, Eugene; Akemann, GernotUniBi
Einrichtung
Fakultät für Physik > AG Mathematische Physik
Abstract / Bemerkung
The integrable structure of Ginibre's Orthogonal Ensemble of random matricesis looked at through the prism of the probability "p_{n,k}" to find exactly "k"real eigenvalues in the spectrum of an "n" by "n" real asymmetric Gaussianrandom matrix. The exact solution for the probability function "p_{n,k}" ispresented, and its remarkable connection to the theory of symmetric functionsis revealed. An extension of the Dyson integration theorem is a key ingredientof the theory presented.
Erscheinungsjahr
2005
Zeitschriftentitel
Phys.Rev.Lett.
Band
95
Ausgabe
23
Art.-Nr.
230201
ISSN
0031-9007
eISSN
1079-7114
Page URI
https://pub.uni-bielefeld.de/record/1978645

Zitieren

Kanzieper E, Akemann G. Statistics of Real Eigenvalues in Ginibre's Ensemble of Random Real Matrices. Phys.Rev.Lett. 2005;95(23): 230201.
Kanzieper, E., & Akemann, G. (2005). Statistics of Real Eigenvalues in Ginibre's Ensemble of Random Real Matrices. Phys.Rev.Lett., 95(23), 230201. https://doi.org/10.1103/PhysRevLett.95.230201
Kanzieper, Eugene, and Akemann, Gernot. 2005. “Statistics of Real Eigenvalues in Ginibre's Ensemble of Random Real Matrices”. Phys.Rev.Lett. 95 (23): 230201.
Kanzieper, E., and Akemann, G. (2005). Statistics of Real Eigenvalues in Ginibre's Ensemble of Random Real Matrices. Phys.Rev.Lett. 95:230201.
Kanzieper, E., & Akemann, G., 2005. Statistics of Real Eigenvalues in Ginibre's Ensemble of Random Real Matrices. Phys.Rev.Lett., 95(23): 230201.
E. Kanzieper and G. Akemann, “Statistics of Real Eigenvalues in Ginibre's Ensemble of Random Real Matrices”, Phys.Rev.Lett., vol. 95, 2005, : 230201.
Kanzieper, E., Akemann, G.: Statistics of Real Eigenvalues in Ginibre's Ensemble of Random Real Matrices. Phys.Rev.Lett. 95, : 230201 (2005).
Kanzieper, Eugene, and Akemann, Gernot. “Statistics of Real Eigenvalues in Ginibre's Ensemble of Random Real Matrices”. Phys.Rev.Lett. 95.23 (2005): 230201.

4 Zitationen in Europe PMC

Daten bereitgestellt von Europe PubMed Central.

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