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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Gaps in dimer systems on doubly periodic planar bipartite graphs
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by Mihai Ciucu PDF
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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Additional Information
  • Mihai Ciucu
  • Affiliation: Department of Mathematics, Indiana University, Bloomington, Indiana 47405
  • MR Author ID: 605457
  • 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
  • © Copyright 2017 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 145 (2017), 4931-4944
  • MSC (2010): Primary 82B20; Secondary 05A15, 05A16
  • DOI: https://doi.org/10.1090/proc/13651
  • MathSciNet review: 3692007