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- Title
Autocorrelations of characteristic polynomials for the Alternative Circular Unitary Ensemble.
- Authors
Rodgers, Brad; Vallabhaneni, Harshith Sai
- Abstract
We find closed formulas for arbitrarily high mixed moments of characteristic polynomials of the Alternative Circular Unitary Ensemble, as well as closed formulas for the averages of ratios of characteristic polynomials in this ensemble. A comparison is made to analogous results for the Circular Unitary Ensemble. Both moments and ratios are studied via symmetric function theory and a general formula of Borodin-Olshanski-Strahov.
- Subjects
SYMMETRIC functions; POLYNOMIALS; ZETA functions
- Publication
Glasgow Mathematical Journal, 2024, Vol 66, Issue 1, p51
- ISSN
0017-0895
- Publication type
Article
- DOI
10.1017/S0017089523000332