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Fock Dimers Limit Shapes

This is a repository accompanying the paper 1. It consists of these essential parts:

  1. Schottky uniformizations for definition of an M-curve and computation of corresponding differentials and theta functions. This uses the jtem riemann project.
  2. Creation of Z2 and Hex lattices with Fock weights corresponding to a choice of Harnack data.
  3. Simulation and visualization of dimer configurations on a weighted graph. Simulation can run on a CUDA enabled GPU or multithreaded on CPU.
  4. Calculation of limiting arctic curves and height functions based on Harnack data.

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  • Java 95.8%
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  • Cuda 0.3%