Published 2001
| Submitted + Published
Book Section - Chapter
Open
Interrelationships Between Orthogonal, Unitary and Symplectic Matrix Ensembles
- Creators
- Forrester, Peter J.
-
Rains, Eric M.
- Others:
- Bleher, Pavel
- Its, Alexander
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.
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.Attached Files
Published - forrester.pdf
Submitted - 9907008.pdf
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Additional details
- Alternative title
- Inter-relationships between orthogonal, unitary and symplectic matrix ensembles
- Eprint ID
- 81827
- Resolver ID
- CaltechAUTHORS:20170926-090553813
- Australian Research Council
- Created
-
2017-09-26Created from EPrint's datestamp field
- Updated
-
2023-06-02Created from EPrint's last_modified field
- Series Name
- Mathematical Sciences Research Institute publications
- Series Volume or Issue Number
- 40