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Mixed moments of characteristic polynomials of random unitary matrices
| Content Provider | Semantic Scholar |
|---|---|
| Author | Bailey, E. C. Bettin, Sandro Blower, Gordon Conrey, J. Brian Prokhorov, Andrei Rubinstein, Michael O. Snaith, Nina C. |
| Copyright Year | 2019 |
| Abstract | Following the work of Conrey, Rubinstein and Snaith and Forrester and Witte we examine a mixed moment of the characteristic polynomial and its derivative for matrices from the unitary group U(N) (also known as the CUE) and relate the moment to the solution of a Painleve differential equation. We also calculate a simple form for the asymptotic behaviour of moments of logarithmic derivatives of these characteristic polynomials evaluated near the unit circle. |
| File Format | PDF HTM / HTML |
| DOI | 10.1063/1.5092780 |
| Alternate Webpage(s) | https://eprints.lancs.ac.uk/id/eprint/136801/1/AIMmxedmoments.pdf |
| Alternate Webpage(s) | http://eprints.lancs.ac.uk/130516/1/AIM_mixed_moments10.pdf |
| Alternate Webpage(s) | https://arxiv.org/pdf/1901.07479v1.pdf |
| Alternate Webpage(s) | https://doi.org/10.1063/1.5092780 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
