Gaps in dimer systems on doubly periodic planar bipartite graphs

Ciucu, Mihai

doi:10.1090/proc/13651

Gaps in dimer systems on doubly periodic planar bipartite graphs
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Proc. Amer. Math. Soc. 145 (2017), 4931-4944 Request permission

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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