26 citations · 116 across the 19 of their papers we have counts for
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nlin.SI2014
Spectral curves and discrete Painlevé equations
Christopher M. Ormerod
It is well known that isomonodromic deformations admit a Hamiltonian description. These Hamiltonians appear as coefficients of the characteristic equations of their Lax matrices, w…
nlin.SI2014★ 4 cited
From Polygons to Ultradiscrete Painlevé Equations
Christopher Michael Ormerod, Yasuhiko Yamada
The rays of tropical genus one curves are constrained in a way that defines a bounded polygon. When we relax this constraint, the resulting curves do not close, giving rise to a sy…