A tropical analogue of Fay's trisecant identity and the ultra-discrete periodic Toda lattice
classification
🧮 math-ph
math.AGmath.MP
keywords
tropicalanalogueidentitylatticeperiodictodatrisecantultra-discrete
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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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