Tropical Spectral Curves and Integrable Cellular Automata

DOI10.1093/imrn/rnn019zbMath1155.37012arXiv0704.2471OpenAlexW2050449574MaRDI QIDQ3515982

Rei Inoue, Tomoyuki Takenawa

Publication date: 30 July 2008

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.2471

zbMATH Keywords

Tropical geometryCellular automatonDiscretized soliton

Mathematics Subject Classification ID

Cellular automata (computational aspects) (68Q80) Dynamical aspects of cellular automata (37B15)

Related Items (7)

Relationships between two approaches: rigged configurations and 10-eliminations ⋮ Toric networks, geometric \(R\)-matrices and generalized discrete Toda lattices ⋮ A tropical analogue of Fay's trisecant identity and the ultra-discrete periodic Toda lattice ⋮ An ultradiscrete integrable map arising from a pair of tropical elliptic pencils ⋮ Invariant measures for the box-ball system based on stationary Markov chains and periodic Gibbs measures ⋮ Soliton cellular automata associated with infinite reduced words ⋮ Geometric lifting of the integrable cellular automata with periodic boundary conditions

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