A new interpretation of Jimbo's formula for Painlevé VI
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910360748949504 |
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| author | Wang, Zikang Xie, Yuancheng Xu, Xiaomeng |
| author_facet | Wang, Zikang Xie, Yuancheng Xu, Xiaomeng |
| contents | In this paper, we first give a new interpretation of Jimbo's boundary condition for the generic Painlevé VI transcendents, as the shrinking phenomenon in long time behaviour of the Jimbo-Miwa-Mori-Sato equation with rank $n=3$. We then interpret Jimbo's monodromy formula from the viewpoint of the isomonodromy deformation with respect to irregular singularities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_16043 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A new interpretation of Jimbo's formula for Painlevé VI Wang, Zikang Xie, Yuancheng Xu, Xiaomeng Classical Analysis and ODEs In this paper, we first give a new interpretation of Jimbo's boundary condition for the generic Painlevé VI transcendents, as the shrinking phenomenon in long time behaviour of the Jimbo-Miwa-Mori-Sato equation with rank $n=3$. We then interpret Jimbo's monodromy formula from the viewpoint of the isomonodromy deformation with respect to irregular singularities. |
| title | A new interpretation of Jimbo's formula for Painlevé VI |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2401.16043 |