Periodic cellular automata and Bethe ansatz
Kuniba, Atsuo ; Takenouchi, Akira
arXiv, 0511013 / Harvested from arXiv
Text on arXiv
We review and generalize the recent progress in a soliton cellular automaton known as the periodic box-ball system. It has the extended affine Weyl group symmetry and admits the commuting transfer matrix method and the Bethe ansatz at q=0. Explicit formulas are proposed for the dynamical period and the number of states characterized by conserved quantities.
Publié le : 2005-11-04
Classification:  Mathematical Physics,  Mathematics - Quantum Algebra,  Nonlinear Sciences - Exactly Solvable and Integrable Systems 
@article{0511013,
     author = {Kuniba, Atsuo and Takenouchi, Akira},
     title = {Periodic cellular automata and Bethe ansatz},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0511013}
}

Kuniba, Atsuo; Takenouchi, Akira. Periodic cellular automata and Bethe ansatz. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0511013/