Brunel University Research Archive (BURA) >
College of Engineering, Design and Physical Sciences >
Dept of Mathematics >
Dept of Mathematics Research Papers >

Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/448

Title: Statistics of real eigenvalues in Ginibre's Ensemble of random real matrices
Authors: Kanzieper, E
Akemann, G
Keywords: Mathematical physics
Disordered systems and neural networks
Exactly solvable and integrable systems
Publication Date: 2005
Publisher: The American Physical Society
Citation: Physical Review Letters 95, Article no: 230201, Nov 2005
Abstract: The integrable structure of Ginibre's orthogonal ensemble of random matrices is looked at through the prism of the probability pn,k to find exactly k real eigenvalues in the spectrum of an n×n real asymmetric Gaussian random matrix. The exact solution for the probability function pn,k is presented, and its remarkable connection to the theory of symmetric functions is revealed. An extension of the Dyson integration theorem is a key ingredient of the theory presented.
URI: http://bura.brunel.ac.uk/handle/2438/448
DOI: http://dx.doi.org/10.1103/PhysRevLett.95.230201
Appears in Collections:Mathematical Science
Dept of Mathematics Research Papers

Files in This Item:

File Description SizeFormat
Statistics of Real.pdf160.44 kBAdobe PDFView/Open

Items in BURA are protected by copyright, with all rights reserved, unless otherwise indicated.