144 citations · 247 across the 11 of their papers we have counts for
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math.DG2009★ 144 cited
Discrete Riemann Surfaces and the Ising model
Christian Mercat
We define a new theory of discrete Riemann surfaces and present its basic results. The key idea is to consider not only a cellular decomposition of a surface, but the union with it…
math.DG2009★ 2 cited
Conformal Structures and Period Matrices of Polyhedral Surfaces
Alexander I. Bobenko, Christian Mercat, Markus Schmies
We recall the theory of linear discrete Riemann surfaces and show how to use it in order to interpret a surface embedded in R^3 as a discrete Riemann surface and compute its basis…