Limit shapes for the dimer model
Mathematical Physics
2017-12-25 v1 math.MP
Probability
Abstract
We prove the existence of a limit shape for the dimer model on planar periodic bipartite graphs with an arbitrary fundamental domain and arbitrary periodic weights. This proof is based on a variational principle that uses the locality of the model and the compactness of the space of states.
Cite
@article{arxiv.1712.08396,
title = {Limit shapes for the dimer model},
author = {Nikolai Kuchumov},
journal= {arXiv preprint arXiv:1712.08396},
year = {2017}
}
Comments
33 pages, 26 figures