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Gaps in dimer systems on doubly periodic planar bipartite graphs


Author: Mihai Ciucu
Journal: Proc. Amer. Math. Soc. 145 (2017), 4931-4944
MSC (2010): Primary 82B20; Secondary 05A15, 05A16
DOI: https://doi.org/10.1090/proc/13651
Published electronically: July 10, 2017
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Abstract: In previous work we showed that gaps in dimer systems on the hexagonal and square lattices interact according to two dimensional electrostatics. In this paper we show that this holds for all weighted doubly periodic planar bipartite graphs in the generic liquid phase of the Kenyon-Okounkov-Sheffield classification of dimer models.


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Additional Information

Mihai Ciucu
Affiliation: Department of Mathematics, Indiana University, Bloomington, Indiana 47405

DOI: https://doi.org/10.1090/proc/13651
Received by editor(s): December 10, 2015
Received by editor(s) in revised form: December 21, 2016
Published electronically: July 10, 2017
Additional Notes: The author’s research was supported in part by NSF grants DMS-1101670 and DMS-1501052
Communicated by: Patricia L. Hersh
Article copyright: © Copyright 2017 American Mathematical Society

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