On the crystal limit of the q-difference sixth Painlevé equation
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916546376368128 |
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| author | Joshi, Nalini Roffelsen, Pieter |
| author_facet | Joshi, Nalini Roffelsen, Pieter |
| contents | We consider the Riemann-Hilbert correspondence associated with the $q$-difference sixth Painlevé equation in the crystal limit, i.e. $q\rightarrow 0$, and show two main results. First, the limit of this generically highly transcendental mapping is shown to exist. Second, we show that the limiting map is bi-rational and describe it explicitly. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_07963 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the crystal limit of the q-difference sixth Painlevé equation Joshi, Nalini Roffelsen, Pieter Exactly Solvable and Integrable Systems Mathematical Physics 39A13, 33E17, 34M50, 39A45, 47B39, 14J26 We consider the Riemann-Hilbert correspondence associated with the $q$-difference sixth Painlevé equation in the crystal limit, i.e. $q\rightarrow 0$, and show two main results. First, the limit of this generically highly transcendental mapping is shown to exist. Second, we show that the limiting map is bi-rational and describe it explicitly. |
| title | On the crystal limit of the q-difference sixth Painlevé equation |
| topic | Exactly Solvable and Integrable Systems Mathematical Physics 39A13, 33E17, 34M50, 39A45, 47B39, 14J26 |
| url | https://arxiv.org/abs/2408.07963 |