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nlin.SI2024
On the crystal limit of the q-difference sixth Painlevé equation
Nalini Joshi, Pieter Roffelsen
We consider the Riemann-Hilbert correspondence associated with the -difference sixth Painlevé equation in the crystal limit, i.e. , and show two main results. Fi…
math-ph2024
Segre surfaces and geometry of the Painlevé equations
Nalini Joshi, Marta Mazzocco, Pieter Roffelsen
In this paper, we consider a six parameter family of affine Segre surfaces embedded in . For generic values of the parameters, this family is associated to the -dif…