Corrections to Classical Matrix Ensemble Moments, Non-Crossing Annular Pairings, and Ribbon Graphs
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911231386845184 |
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| author | Rahman, Anas A. George, Daniel Munoz Mingo, James A. |
| author_facet | Rahman, Anas A. George, Daniel Munoz Mingo, James A. |
| contents | We elucidate a bijection between ribbon graphs on the real projective plane and non-crossing annular pairings that relate to the $1/N$ correction term of the GOE and LOE spectral moments. We also derive analogous objects for the $1/N^2$ correction terms of said moments and their equivalents for the GUE and LUE. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_22308 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Corrections to Classical Matrix Ensemble Moments, Non-Crossing Annular Pairings, and Ribbon Graphs Rahman, Anas A. George, Daniel Munoz Mingo, James A. Combinatorics Probability 15B52 (Primary) 05C10, 05A19, 46L54 (Secondary) We elucidate a bijection between ribbon graphs on the real projective plane and non-crossing annular pairings that relate to the $1/N$ correction term of the GOE and LOE spectral moments. We also derive analogous objects for the $1/N^2$ correction terms of said moments and their equivalents for the GUE and LUE. |
| title | Corrections to Classical Matrix Ensemble Moments, Non-Crossing Annular Pairings, and Ribbon Graphs |
| topic | Combinatorics Probability 15B52 (Primary) 05C10, 05A19, 46L54 (Secondary) |
| url | https://arxiv.org/abs/2510.22308 |