Level Set Structure of an Integrable Cellular Automaton

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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6
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dc.contributor.author	Takagi, T.
dc.date.accessioned	2019-02-08T20:55:37Z
dc.date.available	2019-02-08T20:55:37Z
dc.date.issued	2010
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
dc.identifier.other	2010 Mathematics Subject Classification: 82B23; 37K15; 68R15; 37B15
dc.identifier.other	DOI:10.3842/SIGMA.2010.027
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/146324
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
dc.title	Level Set Structure of an Integrable Cellular Automaton	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA