Exact Formulas of the Transition Probabilities of the Multi-Species Asymmetric Simple Exclusion Process
We find the formulas of the transition probabilities of the -particle multi-species asymmetric simple exclusion processes (ASEP), and show that the transition probabilities are written as a determinant when the order of particles in the final state is the same as the order of particles in the initia...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2020 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2020
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/211080 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Exact Formulas of the Transition Probabilities of the Multi-Species Asymmetric Simple Exclusion Process. Eunghyun Lee. SIGMA 16 (2020), 139, 9 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862728019105284096 |
|---|---|
| author | Lee, Eunghyun |
| author_facet | Lee, Eunghyun |
| citation_txt | Exact Formulas of the Transition Probabilities of the Multi-Species Asymmetric Simple Exclusion Process. Eunghyun Lee. SIGMA 16 (2020), 139, 9 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We find the formulas of the transition probabilities of the -particle multi-species asymmetric simple exclusion processes (ASEP), and show that the transition probabilities are written as a determinant when the order of particles in the final state is the same as the order of particles in the initial state.
|
| first_indexed | 2026-03-21T11:25:40Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211080 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-21T11:25:40Z |
| publishDate | 2020 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Lee, Eunghyun 2025-12-23T13:11:32Z 2020 Exact Formulas of the Transition Probabilities of the Multi-Species Asymmetric Simple Exclusion Process. Eunghyun Lee. SIGMA 16 (2020), 139, 9 pages 1815-0659 2020 Mathematics Subject Classification: 82C22; 60J27 arXiv:1809.07362 https://nasplib.isofts.kiev.ua/handle/123456789/211080 https://doi.org/10.3842/SIGMA.2020.139 We find the formulas of the transition probabilities of the -particle multi-species asymmetric simple exclusion processes (ASEP), and show that the transition probabilities are written as a determinant when the order of particles in the final state is the same as the order of particles in the initial state. This work was supported by the faculty development competitive research grant (090118FD5341) by Nazarbayev University. The author is grateful for the valuable comments from Jeffrey Kuan and Atsuo Kuniba on the multi-species ASEP. This research was supported in part by the International Centre for Theoretical Sciences (ICTS) at Bengaluru, India, during a visit to participate in the program Universality in random structures: Interfaces, Matrices, Sandpiles in 2019. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Exact Formulas of the Transition Probabilities of the Multi-Species Asymmetric Simple Exclusion Process Article published earlier |
| spellingShingle | Exact Formulas of the Transition Probabilities of the Multi-Species Asymmetric Simple Exclusion Process Lee, Eunghyun |
| title | Exact Formulas of the Transition Probabilities of the Multi-Species Asymmetric Simple Exclusion Process |
| title_full | Exact Formulas of the Transition Probabilities of the Multi-Species Asymmetric Simple Exclusion Process |
| title_fullStr | Exact Formulas of the Transition Probabilities of the Multi-Species Asymmetric Simple Exclusion Process |
| title_full_unstemmed | Exact Formulas of the Transition Probabilities of the Multi-Species Asymmetric Simple Exclusion Process |
| title_short | Exact Formulas of the Transition Probabilities of the Multi-Species Asymmetric Simple Exclusion Process |
| title_sort | exact formulas of the transition probabilities of the multi-species asymmetric simple exclusion process |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211080 |
| work_keys_str_mv | AT leeeunghyun exactformulasofthetransitionprobabilitiesofthemultispeciesasymmetricsimpleexclusionprocess |