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Interrelationships Between Orthogonal, Unitary and Symplectic Matrix Ensembles

Forrester, Peter J. and Rains, Eric M. (2001) Interrelationships Between Orthogonal, Unitary and Symplectic Matrix Ensembles. In: Random Matrix Models and Their Applications. Mathematical Sciences Research Institute publications . No.40. Cambridge University Press , Cambridge, pp. 171-207. ISBN 9780521802093. https://resolver.caltech.edu/CaltechAUTHORS:20170926-090553813

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Abstract

We consider the following problem: When do alternate eigenvalues taken from a matrix ensemble themselves form a matrix ensemble? More precisely, we classify all weight functions for which alternate eigenvalues from the corresponding orthogonal ensemble form a symplectic ensemble, and similarly classify those weights for which alternate eigenvalues from a union of two orthogonal ensembles forms a unitary ensemble. Also considered are the k-point distributions for the decimated orthogonal ensembles.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
http://library.msri.org/books/Book40/contents.htmlPublisherBook
http://arxiv.org/abs/solv-int/9907008arXivDiscussion Paper
http://library.msri.org/books/Book40/files/forrester.pdfPublisherArticle
Alternate Title:Inter-relationships between orthogonal, unitary and symplectic matrix ensembles
Additional Information:© 2001 Mathematical Sciences Research Institute. Forrester thanks J. Baik for drawing his attention to the conjecture noted in the paragraph above the paragraph containing (1-6), and acknowledges the Australian Research Council for financial support.
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Funding AgencyGrant Number
Australian Research CouncilUNSPECIFIED
Series Name:Mathematical Sciences Research Institute publications
Issue or Number:40
Record Number:CaltechAUTHORS:20170926-090553813
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170926-090553813
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:81827
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:26 Sep 2017 18:01
Last Modified:03 Oct 2019 18:47

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