Shuffling Algorithm for Coupled Tilings of the Aztec Diamond
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23_2023_Article_1407.pdf
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1.96 MB
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Adobe PDF
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105b91045e7242d24ecf24c7b9deb042
Author(s)
Keating, David
Nicoletti, Matthew
Date Issued
January 27, 2024
Publisher
Springer International Publishing
Citation
Keating, D., Nicoletti, M. Shuffling Algorithm for Coupled Tilings of the Aztec Diamond. Ann. Henri Poincaré (2024).
Version
Final published version
Abstract
In this article, we define a generalization of the domino shuffling algorithm for tilings of the Aztec diamond to the interacting k-tilings recently introduced by S. Corteel, A. Gitlin, and the first author. We describe the algorithm both in terms of dynamics on a system of colored particles and as operations on the dominos themselves.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.1007/s00023-023-01407-w
