Generalization of the \(\epsilon\)-BBS and the Schensted insertion algorithm

DOI10.1007/s10801-024-01338-7MaRDI QIDQ6618158

Katsuki Kobayashi, Satoshi Tsujimoto

Publication date: 14 October 2024

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

zbMATH Keywords

Toda latticeRobinson-Schensted-Knuth correspondencebox-ball systemultradiscrete system

Mathematics Subject Classification ID

Dynamical aspects of cellular automata (37B15) Lattice dynamics; integrable lattice equations (37K60) Integrable difference and lattice equations; integrability tests (39A36) Completely integrable discrete dynamical systems (37J70)

Cites Work

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• Crystal interpretation of Kerov-Kirillov-Reshetikhin bijection
• Box-ball systems and Robinson-Schensted-Knuth correspondence
• The ghost-box-ball system: a unified perspective on soliton cellular automata, the RSK algorithm and phase shifts
• Lusztig factorization dynamics of the full Kostant-Toda lattices
• Elementary Toda orbits and integrable lattices
• Longest Increasing and Decreasing Subsequences
• Proof of solitonical nature of box and ball systems by means of inverse ultra-discretization
• Nonautonomous discrete elementary Toda orbits and their ultradiscretization

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