Box-ball systems and Robinson-Schensted-Knuth correspondence
| dc.creator | Fukuda, Kaori | |
| dc.date | 2001-05-28 | |
| dc.date | 2002-10-03 | |
| dc.date.accessioned | 2026-07-07T04:41:53Z | |
| dc.date.available | 2026-07-07T04:41:53Z | |
| dc.description | The box-ball system is studied from the viewpoint of combinatorics of words and tableaux. Each state of the box-ball system can be transformed into a pair of tableaux $(P,Q)$ by the Robinson-Schensted-Knuth correspondence. In the language of tableaux, the $P$-symbol gives rise to a conserved quantity of the box-ball system, and the $Q$-symbol evolves independently of the $P$-symbol. The time evolution of the $Q$-symbol is described explicitly in terms of the box-labels. | |
| dc.description | 25 pages; We revised the paper vastly. The construction of the theory is also modified | |
| dc.identifier | https://arxiv.org/abs/math/0105226 | |
| dc.identifier | http://arxiv.org/abs/math/0105226 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61543 | |
| dc.subject | Combinatorics | |
| dc.subject | Mathematical Physics | |
| dc.title | Box-ball systems and Robinson-Schensted-Knuth correspondence | |
| dc.type | text |