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:
- Accepted
- Peer review status:
- Peer reviewed
Actions
Authors
Bibliographic Details
- Publisher:
- Royal Society Publisher's website
- Journal:
- Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Journal website
- Acceptance date:
- 2023-01-19
- EISSN:
-
1471-2946
- ISSN:
-
1364-5021
Item Description
- Language:
- English
- Keywords:
- Pubs id:
-
1325008
- Local pid:
- pubs:1325008
- Deposit date:
- 2023-01-24
Terms of use
- Notes:
- This is the accepted manuscript version of the article. The final version will be available online from a forthcoming edition of Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
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