26 citations · 116 across the 19 of their papers we have counts for
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math-ph2016★ 6 cited
An elliptic Garnier system
Christopher M. Ormerod, Eric M. Rains
We present a linear system of difference equations whose entries are expressed in terms of theta functions. This linear system is singular at points for , which a…
math-ph2008
Tropical geometric interpretation of ultradiscrete singularity confinement
Christopher M. Ormerod
Using the interpretation of the ultradiscretization procedure as a non-Archimedean valuation, we use results of tropical geometry to show how roots and poles manifest themselves in…
math-ph2006★ 1 cited
An Ultradiscrete QRT mapping from Tropical Elliptic Curves
Chris Ormerod
Recently the area of tropical geometry has introduced the concept of the tropical elliptic group law associated with a tropical elliptic curve. This gives rise to a notion of the t…