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A new interpretation of Jimbo's formula for Painlev\'e VI by Wang, Zikang; Xie, Yuancheng; Xu, Xiaomeng is a scholarly article available to read on EtoBox.

What is A new interpretation of Jimbo's formula for Painlev\'e VI about?

In this paper, we first give a new interpretation of Jimbo's boundary condition for the generic Painlev\'e 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.

Author

Wang, Zikang; Xie, Yuancheng; Xu, Xiaomeng

Published

2024

Language

EN