Grove arctic curves from periodic cluster modular transformations

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 probabilitie...

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Bibliographic Details
Main Author: George, Terrence
Format: Report
Language:unknown
Published: arXiv 2017
Subjects:
Online Access:https://dx.doi.org/10.48550/arxiv.1711.00790
https://arxiv.org/abs/1711.00790