Grove Arctic Curves from Periodic Cluster Modular Transformations

Abstract Groves are spanning forests of a finite region of the triangular lattice that are in bijection with Laurent monomials that arise in solutions of the cube recurrence. We introduce a large class of probability measures on groves for which we can compute exact generating functions for edge pro...

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Bibliographic Details
Published in:International Mathematics Research Notices
Main Author: George, Terrence
Format: Article in Journal/Newspaper
Language:English
Published: Oxford University Press (OUP) 2020
Subjects:
Online Access:http://dx.doi.org/10.1093/imrn/rnz367
http://academic.oup.com/imrn/article-pdf/2021/20/15301/40740074/rnz367.pdf