Abstract
We review the novel properties of the fundamental cycle of periodic Box-Ball systems (PBBSs). According to integrable nature of the PBBS, the explicit formula for the fundamental cycle exists and its asymptotic behaviour can be estimated when the system size N goes to infinity.
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Tokihiro, T. (2006). ON FUNDAMENTAL CYCLE OF PERIODIC BOX-BALL SYSTEMS. In: Faddeev, L., Van Moerbeke, P., Lambert, F. (eds) Bilinear Integrable Systems: From Classical to Quantum, Continuous to Discrete. NATO Science Series, vol 201. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-3503-6_28
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DOI: https://doi.org/10.1007/978-1-4020-3503-6_28
Publisher Name: Springer, Dordrecht
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