Simple algorithm for factorized dynamics of the $\frak{g}_n$-automaton

DOI10.1088/0305-4470/34/48/331zbMath1001.37010arXivnlin/0103022OpenAlexW3123751702MaRDI QIDQ2773096

Atsuo Kuniba, Goro Hatayama, Taichiro Takagi

Publication date: 6 March 2002

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0103022

zbMATH Keywords

quantum affine algebrasoliton cellular automataanalogue of the ball-moving algorithmTakahashi-Satsuma box-ball system

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Cellular automata (computational aspects) (68Q80) Dynamical aspects of cellular automata (37B15) Lattice dynamics; integrable lattice equations (37K60)

Related Items (5)

A uniform approach to soliton cellular automata using rigged configurations ⋮ A QUANTIZATION OF BOX-BALL SYSTEMS ⋮ Rigged configuration bijection and proof of the \(X = M\) conjecture for nonexceptional affine types ⋮ Inversible Max-Plus algebras and integrable systems ⋮ Analysis of a particle antiparticle description of a soliton cellular automaton

This page was built for publication: Simple algorithm for factorized dynamics of the $\frak{g}_n$-automaton