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Integrable Structure of Multispecies Zero Range Process

Vernadsky National Library of Ukraine

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Title Integrable Structure of Multispecies Zero Range Process
 
Creator Kuniba, A.
Okado, M.
Watanabe, S.
 
Description We present a brief review on integrability of multispecies zero range process in one dimension introduced recently. The topics range over stochastic R matrices of quantum affine algebra Uq(An⁽¹⁾), matrix product construction of stationary states for periodic systems, q-boson representation of Zamolodchikov-Faddeev algebra, etc. We also introduce new commuting Markov transfer matrices having a mixed boundary condition and prove the factorization of a family of R matrices associated with the tetrahedron equation and generalized quantum groups at a special point of the spectral parameter.
 
Date 2019-02-18T16:54:15Z
2019-02-18T16:54:15Z
2017
 
Type Article
 
Identifier Integrable Structure of Multispecies Zero Range Process / A. Kuniba, M. Okado, S. Watanabe // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 51 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 81R50; 60C9
DOI:10.3842/SIGMA.2017.044
http://dspace.nbuv.gov.ua/handle/123456789/148647
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України