On Fredholm Pfaffians and Riemann-Hilbert problems
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866918222733770752 |
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| author | Bothner, Thomas Jaconelli, Amari |
| author_facet | Bothner, Thomas Jaconelli, Amari |
| contents | It is shown how classes of Fredholm Pfaffians can be computed in terms of canonical, auxiliary Riemann-Hilbert problems as soon as the main kernel in the Pfaffian is either of additive Hankel composition or of truncated Wiener-Hopf type. Akhiezer-Kac asymptotic results for the Fredholm Pfaffians are then derived as natural consequences of the Riemann-Hilbert characterisation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_23362 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Fredholm Pfaffians and Riemann-Hilbert problems Bothner, Thomas Jaconelli, Amari Mathematical Physics Functional Analysis Spectral Theory Exactly Solvable and Integrable Systems Primary 47B35, Secondary 30E25, 34E05 It is shown how classes of Fredholm Pfaffians can be computed in terms of canonical, auxiliary Riemann-Hilbert problems as soon as the main kernel in the Pfaffian is either of additive Hankel composition or of truncated Wiener-Hopf type. Akhiezer-Kac asymptotic results for the Fredholm Pfaffians are then derived as natural consequences of the Riemann-Hilbert characterisation. |
| title | On Fredholm Pfaffians and Riemann-Hilbert problems |
| topic | Mathematical Physics Functional Analysis Spectral Theory Exactly Solvable and Integrable Systems Primary 47B35, Secondary 30E25, 34E05 |
| url | https://arxiv.org/abs/2511.23362 |