Zero Range Process and Multi-Dimensional Random Walks
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Zero Range Process and Multi-Dimensional Random Walks
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| Creator |
Bogoliubov, N.M.
Malyshev, C. |
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| Description |
The special limit of the totally asymmetric zero range process of the low-dimensional non-equilibrium statistical mechanics described by the non-Hermitian Hamiltonian is considered. The calculation of the conditional probabilities of the model are based on the algebraic Bethe ansatz approach. We demonstrate that the conditional probabilities may be considered as the generating functions of the random multi-dimensional lattice walks bounded by a hyperplane. This type of walks we call the walks over the multi-dimensional simplicial lattices. The answers for the conditional probability and for the number of random walks in the multi-dimensional simplicial lattice are expressed through the symmetric functions.
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| Date |
2019-02-18T16:17:21Z
2019-02-18T16:17:21Z 2017 |
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| Type |
Article
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| Identifier |
Zero Range Process and Multi-Dimensional Random Walks / N.M Bogoliubov, C. Malyshev // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 32 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 05A19; 05E05; 82B23 DOI:10.3842/SIGMA.2017.056 http://dspace.nbuv.gov.ua/handle/123456789/148588 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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