Integrable Structure of Multispecies Zero Range Process
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 Zamolo...
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| Дата: | 2017 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
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Інститут математики НАН України
2017
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/148647 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-148647 |
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irk-123456789-1486472019-02-19T01:24:46Z Integrable Structure of Multispecies Zero Range Process Kuniba, A. Okado, M. Watanabe, S. 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. 2017 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Kuniba, A. Okado, M. Watanabe, S. |
| spellingShingle |
Kuniba, A. Okado, M. Watanabe, S. Integrable Structure of Multispecies Zero Range Process Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Kuniba, A. Okado, M. Watanabe, S. |
| author_sort |
Kuniba, A. |
| title |
Integrable Structure of Multispecies Zero Range Process |
| title_short |
Integrable Structure of Multispecies Zero Range Process |
| title_full |
Integrable Structure of Multispecies Zero Range Process |
| title_fullStr |
Integrable Structure of Multispecies Zero Range Process |
| title_full_unstemmed |
Integrable Structure of Multispecies Zero Range Process |
| title_sort |
integrable structure of multispecies zero range process |
| publisher |
Інститут математики НАН України |
| publishDate |
2017 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/148647 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT kunibaa integrablestructureofmultispecieszerorangeprocess AT okadom integrablestructureofmultispecieszerorangeprocess AT watanabes integrablestructureofmultispecieszerorangeprocess |
| first_indexed |
2023-05-20T17:30:57Z |
| last_indexed |
2023-05-20T17:30:57Z |
| _version_ |
1796153462069657600 |