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math-ph2024
Dimers and M-Curves: Limit Shapes from Riemann Surfaces
Alexander I. Bobenko, Nikolai Bobenko
We present a general approach for the study of dimer model limit shape problems via variational and integrable systems techniques. In particular we deduce the limit shape of the Az…
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…