A tropical analogue of Fay's trisecant identity and the ultra-discrete periodic Toda lattice Export

@misc{citeulike:2920730, abstract = {We introduce a tropical analogue of Fay's trisecant identity for a special family of hyperelliptic tropical curves. We apply it to obtain the general solution of the ultra-discrete Toda lattice with periodic boundary conditions in terms of the tropical Riemann's theta function.}, archivePrefix = {arXiv}, author = {Inoue, Rei and Takenawa, Tomoyuki}, citeulike-article-id = {2920730}, citeulike-linkout-0 = {http://arxiv.org/abs/0806.3318}, citeulike-linkout-1 = {http://arxiv.org/pdf/0806.3318}, day = {20}, eprint = {0806.3318}, keywords = {tropical, ultradiscrete}, month = {Jun}, posted-at = {2008-06-24 09:04:06}, priority = {2}, title = {A tropical analogue of Fay's trisecant identity and the ultra-discrete periodic Toda lattice}, url = {http://arxiv.org/abs/0806.3318}, year = {2008} }

TY - ELEC ID - citeulike:2920730 L3 - citeulike-article-id:2920730 N2 - We introduce a tropical analogue of Fay's trisecant identity for a special family of hyperelliptic tropical curves. We apply it to obtain the general solution of the ultra-discrete Toda lattice with periodic boundary conditions in terms of the tropical Riemann's theta function. TI - A tropical analogue of Fay's trisecant identity and the ultra-discrete periodic Toda lattice KW - tropical KW - ultradiscrete AU - Inoue, Rei AU - Takenawa, Tomoyuki PY - 2008/Jun/20/ UR - http://arxiv.org/abs/0806.3318 ER -