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 | ||||||||||||
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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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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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