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dc.contributor.author |
Takagi, T. |
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dc.date.accessioned |
2019-02-08T20:55:37Z |
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dc.date.available |
2019-02-08T20:55:37Z |
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dc.date.issued |
2010 |
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dc.identifier.citation |
Level Set Structure of an Integrable Cellular Automaton / T. Takagi // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 15 назв. — англ. |
uk_UA |
dc.identifier.issn |
1815-0659 |
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dc.identifier.other |
2010 Mathematics Subject Classification: 82B23; 37K15; 68R15; 37B15 |
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dc.identifier.other |
DOI:10.3842/SIGMA.2010.027 |
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dc.identifier.uri |
http://dspace.nbuv.gov.ua/handle/123456789/146324 |
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dc.description.abstract |
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. |
uk_UA |
dc.description.sponsorship |
This paper is a contribution to the Proceedings of the Workshop “Geometric Aspects of Discrete and UltraDiscrete Integrable Systems” (March 30 – April 3, 2009, University of Glasgow, UK). The full collection is available at http://www.emis.de/journals/SIGMA/GADUDIS2009.html.
The author thanks Atsuo Kuniba for valuable discuss |
uk_UA |
dc.language.iso |
en |
uk_UA |
dc.publisher |
Інститут математики НАН України |
uk_UA |
dc.relation.ispartof |
Symmetry, Integrability and Geometry: Methods and Applications |
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dc.title |
Level Set Structure of an Integrable Cellular Automaton |
uk_UA |
dc.type |
Article |
uk_UA |
dc.status |
published earlier |
uk_UA |
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