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Contribution Details
| Type | Journal Article |
| Scope | Discipline-based scholarship |
| Title | The Limiting Characteristic Polynomial of Classical Random Matrix Ensembles |
| Organization Unit | |
| Authors |
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| Item Subtype | Original Work |
| Refereed | Yes |
| Status | Published in final form |
| Language |
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| Journal Title | Annales Henri Poincaré |
| Geographical Reach | international |
| Volume | 20 |
| Number | 4 |
| Page Range | 1093 - 1119 |
| Date | 2019 |
| Abstract Text | 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. |
| Related URLs | |
| Digital Object Identifier | 10.1007/s00023-019-00769-4 |
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