Limit correlation functions at zero for fixed trace random matrix ensembles |
| |
| Authors: | F Götze M Gordin A Levina |
| |
| Institution: | 1.Fakult?t für Mathematik,Universit?t Bielefeld,Germany;2.St. Petersburg Department of the Steklov Mathematical Institute,St.Petersburg,Russia;3.Max Planck Institut für Dynamik und Selbstorganisation,G?ttingen,Germany |
| |
| Abstract: | The limit as N → ∞ of the eigenvalue correlation function is studied in a neighborhood of zero for N × N Hermitian matrices
chosen at random from the Hilbert-Schmidt sphere of an appropriate radius. Dyson’s famous sin π(t1 − t2)/π(t1 − t2)-kernel asymptotic is extended to this class of matrix ensembles. Bibliography: 9 titles.
__________
Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 341, 2007, pp. 68–80. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
