• Corpus ID: 214802645

Dimer Models and Conformal Structures.

  title={Dimer Models and Conformal Structures.},
  author={Kari Astala and Erik Duse and Istv'an Prause and Xiao Zhong},
  journal={arXiv: Analysis of PDEs},
Dimer models have been the focus of intense research efforts over the last years. This paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries. We prove a complete classification of the regularity of minimizers and frozen boundaries for all dimer models for a natural class of polygonal (simply or multiply connected) domains much studied in numerical simulations and elsewhere… 
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