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Shuffling algorithm for coupled tilings of the Aztec diamond
- Publication Year :
- 2023
-
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.<br />Comment: 43 pages, 18 figures
- Subjects :
- Mathematics - Combinatorics
Mathematics - Probability
82C22
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2303.09089
- Document Type :
- Working Paper