Level Set Structure of an Integrable Cellular Automaton

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dc.contributor.authorTakagi, T.
dc.date.accessioned2019-02-08T20:55:37Z
dc.date.available2019-02-08T20:55:37Z
dc.date.issued2010
dc.description.abstractBased 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.sponsorshipThis 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 discussuk_UA
dc.identifier.citationLevel 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.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 82B23; 37K15; 68R15; 37B15
dc.identifier.otherDOI:10.3842/SIGMA.2010.027
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/146324
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleLevel Set Structure of an Integrable Cellular Automatonuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6, випуск за цей рік