Periodic cellular automata and Bethe ansatz Export

@misc{citeulike:411501, abstract = {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.}, archivePrefix = {arXiv}, author = {Kuniba, Atsuo and Takenouchi, Akira}, citeulike-article-id = {411501}, citeulike-linkout-0 = {http://arxiv.org/abs/math-ph/0511013}, citeulike-linkout-1 = {http://arxiv.org/pdf/math-ph/0511013}, day = {28}, eprint = {math-ph/0511013}, keywords = {cellular-automata}, month = {Nov}, posted-at = {2005-11-29 23:51:31}, priority = {2}, title = {Periodic cellular automata and Bethe ansatz}, url = {http://arxiv.org/abs/math-ph/0511013}, year = {2005} }

TY - ELEC ID - citeulike:411501 L3 - citeulike-article-id:411501 N2 - 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. TI - Periodic cellular automata and Bethe ansatz KW - cellular-automata AU - Kuniba, Atsuo AU - Takenouchi, Akira PY - 2005/Nov/28/ UR - http://arxiv.org/abs/math-ph/0511013 ER -