On the moments of characteristic polynomials
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866909582580776960 |
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| author | Jonnadula, Bhargavi Keating, Jon Mezzadri, Francesco |
| author_facet | Jonnadula, Bhargavi Keating, Jon Mezzadri, Francesco |
| contents | We examine the asymptotics of the moments of characteristic polynomials of $N\times N$ matrices drawn from the Hermitian ensembles of Random Matrix Theory, in the limit as $N\to\infty$. We focus in particular on the Gaussian Unitary Ensemble, but discuss other Hermitian ensembles as well. We employ a novel approach to calculate asymptotic formulae for the moments, enabling us to uncover subtle structure not apparent in previous approaches. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2106_11743 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | On the moments of characteristic polynomials Jonnadula, Bhargavi Keating, Jon Mezzadri, Francesco Mathematical Physics 05E05, 15B52, 11M50 We examine the asymptotics of the moments of characteristic polynomials of $N\times N$ matrices drawn from the Hermitian ensembles of Random Matrix Theory, in the limit as $N\to\infty$. We focus in particular on the Gaussian Unitary Ensemble, but discuss other Hermitian ensembles as well. We employ a novel approach to calculate asymptotic formulae for the moments, enabling us to uncover subtle structure not apparent in previous approaches. |
| title | On the moments of characteristic polynomials |
| topic | Mathematical Physics 05E05, 15B52, 11M50 |
| url | https://arxiv.org/abs/2106.11743 |