Asymptotic spectra of matrix-valued functions of independent random matrices and free probability
Götze F, Kösters H, Tikhomirov A (2015)
RANDOM MATRICES-THEORY AND APPLICATIONS 4(2): 85.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
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Einrichtung
Abstract / Bemerkung
We investigate the universality of singular value and eigenvalue distributions of matrix-valued functions of independent random matrices and apply these general results in several examples. In particular we determine the limit distribution and prove universality under general conditions for singular value and eigenvalue distributions of products of independent matrices from spherical ensembles.
Stichworte
Asymptotic spectral distributions;
functions of independent random;
matrices;
free probability;
Stieltjes transform;
logarithmic potential
Erscheinungsjahr
2015
Zeitschriftentitel
RANDOM MATRICES-THEORY AND APPLICATIONS
Band
4
Ausgabe
2
Art.-Nr.
85
ISSN
2010-3263
eISSN
2010-3271
Page URI
https://pub.uni-bielefeld.de/record/2917096
Zitieren
Götze F, Kösters H, Tikhomirov A. Asymptotic spectra of matrix-valued functions of independent random matrices and free probability. RANDOM MATRICES-THEORY AND APPLICATIONS. 2015;4(2): 85.
Götze, F., Kösters, H., & Tikhomirov, A. (2015). Asymptotic spectra of matrix-valued functions of independent random matrices and free probability. RANDOM MATRICES-THEORY AND APPLICATIONS, 4(2), 85. doi:10.1142/S2010326315500057
Götze, Friedrich, Kösters, Holger, and Tikhomirov, Alexander. 2015. “Asymptotic spectra of matrix-valued functions of independent random matrices and free probability”. RANDOM MATRICES-THEORY AND APPLICATIONS 4 (2): 85.
Götze, F., Kösters, H., and Tikhomirov, A. (2015). Asymptotic spectra of matrix-valued functions of independent random matrices and free probability. RANDOM MATRICES-THEORY AND APPLICATIONS 4:85.
Götze, F., Kösters, H., & Tikhomirov, A., 2015. Asymptotic spectra of matrix-valued functions of independent random matrices and free probability. RANDOM MATRICES-THEORY AND APPLICATIONS, 4(2): 85.
F. Götze, H. Kösters, and A. Tikhomirov, “Asymptotic spectra of matrix-valued functions of independent random matrices and free probability”, RANDOM MATRICES-THEORY AND APPLICATIONS, vol. 4, 2015, : 85.
Götze, F., Kösters, H., Tikhomirov, A.: Asymptotic spectra of matrix-valued functions of independent random matrices and free probability. RANDOM MATRICES-THEORY AND APPLICATIONS. 4, : 85 (2015).
Götze, Friedrich, Kösters, Holger, and Tikhomirov, Alexander. “Asymptotic spectra of matrix-valued functions of independent random matrices and free probability”. RANDOM MATRICES-THEORY AND APPLICATIONS 4.2 (2015): 85.
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