Shuffling Algorithm for Coupled Tilings of the Aztec Diamond
Download23_2023_Article_1407.pdf (1.959Mb)
Publisher with Creative Commons License
Publisher with Creative Commons License
Creative Commons Attribution
Terms of use
Metadata
Show full item recordAbstract
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.
Date issued
2024-01-27Department
Massachusetts Institute of Technology. Department of MathematicsPublisher
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