Tropical Jacobian and the generic fiber of the ultra-discrete periodic Toda lattice are isomorphic Export

@article{citeulike:4006365, abstract = {We prove that the general isolevel set of the ultra-discrete periodic Toda lattice is isomorphic to the tropical Jacobian associated with the tropical spectral curve. This result implies that the theta function solution obtained in the authors' previous paper is the complete solution. We also propose a method to solve the initial value problem.}, archivePrefix = {arXiv}, author = {Inoue, Rei and Takenawa, Tomoyuki}, citeulike-article-id = {4006365}, citeulike-linkout-0 = {http://arxiv.org/abs/0902.0448}, citeulike-linkout-1 = {http://arxiv.org/pdf/0902.0448}, eprint = {0902.0448}, keywords = {cellular-automaton, tropical, ultradiscrete}, month = {Feb}, posted-at = {2009-02-04 10:20:12}, priority = {2}, title = {Tropical Jacobian and the generic fiber of the ultra-discrete periodic Toda lattice are isomorphic}, url = {http://arxiv.org/abs/0902.0448}, year = {2009} }

TY - JOUR ID - citeulike:4006365 L3 - citeulike-article-id:4006365 N2 - We prove that the general isolevel set of the ultra-discrete periodic Toda lattice is isomorphic to the tropical Jacobian associated with the tropical spectral curve. This result implies that the theta function solution obtained in the authors' previous paper is the complete solution. We also propose a method to solve the initial value problem. TI - Tropical Jacobian and the generic fiber of the ultra-discrete periodic Toda lattice are isomorphic KW - cellular-automaton KW - tropical KW - ultradiscrete AU - Inoue, Rei AU - Takenawa, Tomoyuki PY - 2009/Feb/03/ UR - http://arxiv.org/abs/0902.0448 ER -