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
 
Download
Es wurden keine Dateien hochgeladen. Nur Publikationsnachweis!
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, 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.

Export

Markieren/ Markierung löschen
Markierte Publikationen

Open Data PUB

Web of Science

Dieser Datensatz im Web of Science®

Suchen in

Google Scholar