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

Physics – Mathematical Physics

Scientific paper

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25 pages, 3 figures

Scientific paper

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.

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