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math-ph2022★ 2 cited
On the connection formula of a higher rank analog of Painlevé VI
Xiaomeng Xu
In this paper, we derive the connection formula for the higher rank analog of Painlevé VI arising from the isomonodromic deformation theory and the study of Frobenius manifolds.
math-ph2018
Stokes phenomenon and Yang-Baxter equations
Xiaomeng Xu
We describe the monodromy of dynamical Knizhnik-Zamolodchikov equations via Stokes phenomenon. It defines a family of braid groups representations by certain Stokes matrices. In pa…
math-ph2017
Stokes phenomenon, Gelfand-Zeitlin systems and relative Ginzburg-Weinstein linearization
Xiaomeng Xu
In 2007, Alekseev-Meinrenken proved that there exists a Ginzburg-Weinstein diffeomorphism from the dual Lie algebra to the dual Poisson Lie group compatible…