Chhaibi, Reda; Hovhannisyan, Emma; Najnudel, Joseph; Nikeghbali, Ashkan; Rodgers, Brad (2019). The limiting characteristic polynomial of classical random matrix ensembles. Annales Henri Poincaré, 20(4):1093-1119.
We demonstrate the convergence of the characteristic polynomial of several random matrix ensembles to a limiting universal function, at the microscopic scale. The random matrix ensembles we treat are classical compact groups and the Gaussian Unitary Ensemble. In fact, the result is the by-product of a general limit theorem for the convergence of random entire functions whose zeros present a simple regularity property.
We demonstrate the convergence of the characteristic polynomial of several random matrix ensembles to a limiting universal function, at the microscopic scale. The random matrix ensembles we treat are classical compact groups and the Gaussian Unitary Ensemble. In fact, the result is the by-product of a general limit theorem for the convergence of random entire functions whose zeros present a simple regularity property.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 910 Geography & travel |
| Scopus Subject Areas: | Physical Sciences > Statistical and Nonlinear Physics
Physical Sciences > Nuclear and High Energy Physics Physical Sciences > Mathematical Physics |
| Uncontrolled Keywords: | Nuclear and High Energy Physics, Mathematical Physics, Statistical and Nonlinear Physics |
| Language: | English |
| Date: | 1 April 2019 |
| Deposited On: | 11 Apr 2019 13:20 |
| Last Modified: | 04 Dec 2023 08:11 |
| Publisher: | Springer |
| ISSN: | 1424-0637 |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1007/s00023-019-00769-4 |
Chhaibi, Reda