12 citations · 28 across the 8 of their papers we have counts for
4 papers · 1 filter
Real Riemann Surfaces: Smooth and Discrete
Johanna Düntsch, Felix Günther
This paper develops a discrete theory of real Riemann surfaces based on quadrilateral cellular decompositions (quad-graphs) and a linear discretization of the Cauchy-Riemann equati…
The convergence of discrete period matrices
Felix Günther
We study compact polyhedral surfaces as Riemann surfaces and their discrete counterparts obtained through quadrilateral cellular decompositions and a linear discretization of the C…
Discrete Riemann surfaces based on quadrilateral cellular decompositions
Alexander I. Bobenko, Felix Günther
Our aim in this paper is to provide a theory of discrete Riemann surfaces based on quadrilateral cellular decompositions of Riemann surfaces together with their complex structure e…
Discrete complex analysis on planar quad-graphs
Alexander I. Bobenko, Felix Günther
We develop a linear theory of discrete complex analysis on general quad-graphs, continuing and extending previous work of Duffin, Mercat, Kenyon, Chelkak and Smirnov on discrete co…