Level Set Structure of an Integrable Cellular Automaton
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Level Set Structure of an Integrable Cellular Automaton
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| Creator |
Takagi, T.
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| Description |
Based on a group theoretical setting a sort of discrete dynamical system is constructed and applied to a combinatorial dynamical system defined on the set of certain Bethe ansatz related objects known as the rigged configurations. This system is then used to study a one-dimensional periodic cellular automaton related to discrete Toda lattice. It is shown for the first time that the level set of this cellular automaton is decomposed into connected components and every such component is a torus.
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| Date |
2019-02-08T20:55:37Z
2019-02-08T20:55:37Z 2010 |
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| Type |
Article
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| Identifier |
Level Set Structure of an Integrable Cellular Automaton / T. Takagi // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 15 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 82B23; 37K15; 68R15; 37B15 DOI:10.3842/SIGMA.2010.027 http://dspace.nbuv.gov.ua/handle/123456789/146324 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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