Journal article
On the moments of the moments of the characteristic polynomials of Haar distributed symplectic and orthogonal matrices
- Abstract:
- We establish formulae for the moments of the moments of the characteristic polynomials of random orthogonal and symplectic matrices in terms of certain lattice point count problems. This allows us to establish asymptotic formulae when the matrix-size tends to infinity in terms of the volumes of certain regions involving continuous Gelfand-Tsetlin patterns with constraints. The results we find differ from those in the unitary case considered previously.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 386.7KB, Terms of use)
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- Publisher copy:
- 10.4171/AIHPD/127
Authors
- Publisher:
- European Mathematical Society Publishing House
- Journal:
- Annales de l'Institut Henri Poincare (D) Combinatorics, Physics and their Interactions More from this journal
- Volume:
- 9
- Issue:
- 3
- Pages:
- 567–604
- Publication date:
- 2022-12-23
- Acceptance date:
- 2020-07-15
- DOI:
- EISSN:
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2308-5835
- ISSN:
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2308-5827
- Language:
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English
- Keywords:
- Pubs id:
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1123629
- Local pid:
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pubs:1123629
- Deposit date:
-
2020-08-05
Terms of use
- Copyright holder:
- Association Publications de l’Institut Henri Poincaré
- Copyright date:
- 2022
- Rights statement:
- © 2022 Association Publications de l’Institut Henri Poincaré Published by EMS Press This work is licensed under a CC BY 4.0 license
- Notes:
- This is the accepted manuscript version of the article. The final version will be available in a forthcoming edition of Annales de L'Institute Henri Poincare D.
- Licence:
- CC Attribution (CC BY)
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