A new interpretation of Jimbo's formula for Painlevé VI

Zikang Wang, Yuancheng Xie,Xiaomeng Xu

arxiv（2024）

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摘要

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.

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