Tropical spectral curves and integrable cellular automata

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dc.creatorInoue, Rei
dc.creatorTakenawa, Tomoyuki
dc.date2007-04-19
dc.date2008-02-07
dc.date.accessioned2026-07-07T09:18:55Z
dc.date.available2026-07-07T09:18:55Z
dc.descriptionWe propose a method to study the integrable cellular automata with periodic boundary conditions, via the tropical spectral curve and its Jacobian. We introduce the tropical version of eigenvector map from the isolevel set to a divisor class on the tropical hyperelliptic curve. We also provide some conjectures related to the divisor class and the Jacobian. Finally, we apply our method to the periodic box and ball system and clarify the algebro-geometrical meaning of the real torus introduced for its initial value problem.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/0704.2471
dc.identifierhttp://arxiv.org/abs/0704.2471
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154200
dc.subjectMathematical Physics
dc.subjectAlgebraic Geometry
dc.titleTropical spectral curves and integrable cellular automata
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