Journal article
Moments of moments of the characteristic polynomials of random orthogonal and symplectic matrices
- Abstract:
- Using asymptotics of Toeplitz+Hankel determinants, we establish formulae for the asymptotics of the moments of the moments of the characteristic polynomials of random orthogonal and symplectic matrices, as the matrix-size tends to infinity. Our results are analogous to those that Fahs obtained for random unitary matrices in [21]. A key feature of the formulae we derive is that the phase transitions in the moments of moments are seen to depend on the symmetry group in question in a significant way.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Version of record, pdf, 408.9KB, Terms of use)
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- Publisher copy:
- 10.1098/rspa.2022.0652
Authors
- Publisher:
- Royal Society
- Journal:
- Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences More from this journal
- Volume:
- 479
- Article number:
- 20220652
- Publication date:
- 2023-02-22
- Acceptance date:
- 2023-01-19
- DOI:
- EISSN:
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1471-2946
- ISSN:
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1364-5021
- Language:
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English
- Keywords:
- Pubs id:
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1325008
- Local pid:
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pubs:1325008
- Deposit date:
-
2023-01-24
Terms of use
- Copyright holder:
- Claeys et al
- Copyright date:
- 2023
- Rights statement:
- © 2023 The Authors. Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited.
- Licence:
- CC Attribution (CC BY)
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