Box-ball system
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introduction
- Rigged configurations are known to provide action-angle variables for remarkable discrete dynamical systems known as box-ball systems.
articles
- Thomas Lam, Pavlo Pylyavskyy, Reiho Sakamoto, Rigged Configurations and Cylindric Loop Schur Functions, arXiv:1410.4455 [math.QA], October 16 2014, http://arxiv.org/abs/1410.4455
- Lam, Thomas, Pavlo Pylyavskyy, and Reiho Sakamoto. ‘Rigged Configurations and Cylindric Loop Schur Functions’. arXiv:1410.4455 [math-Ph], 16 October 2014. http://arxiv.org/abs/1410.4455.
- Inoue, Rei, Atsuo Kuniba, and Taichiro Takagi. ‘Integrable Structure of Box-Ball Systems: Crystal, Bethe Ansatz, Ultradiscretization and Tropical Geometry’. arXiv:1109.5349 [math-Ph], 25 September 2011. http://arxiv.org/abs/1109.5349.