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math-ph2025
Discrete Painlevé equations from pencils of quadrics in with branching generators
Jaume Alonso, Yuri B. Suris
In this paper we extend the novel approach to discrete Painlevé equations initiated in our previous work [2]. A classification scheme for discrete Painlevé equations proposed by…
math-ph2024
Dimers and M-Curves
Alexander I. Bobenko, Nikolai Bobenko, Yuri B. Suris
In this paper we develop a general approach to dimer models analogous to Krichever's scheme in the theory of integrable systems. We start with a Riemann surface and the simplest ge…