Determinantal Expressions in Multi-Species TASEP
Consider an inhomogeneous multi-species TASEP with drift to the left, and define a height function which equals the maximum species number to the left of a lattice site. For each fixed time, the multi-point distributions of these height functions have a determinantal structure. In the homogeneous ca...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2020 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2020
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/211086 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Determinantal Expressions in Multi-Species TASEP. Jeffrey Kuan. SIGMA 16 (2020), 133, 6 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862704199275380736 |
|---|---|
| author | Kuan, Jeffrey |
| author_facet | Kuan, Jeffrey |
| citation_txt | Determinantal Expressions in Multi-Species TASEP. Jeffrey Kuan. SIGMA 16 (2020), 133, 6 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | Consider an inhomogeneous multi-species TASEP with drift to the left, and define a height function which equals the maximum species number to the left of a lattice site. For each fixed time, the multi-point distributions of these height functions have a determinantal structure. In the homogeneous case and for certain initial conditions, the fluctuations of the height function converge to Gaussian random variables in the large-time limit. The proof utilizes a coupling between the multi-species TASEP and a coalescing random walk, and previously known results for coalescing random walks.
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| first_indexed | 2026-03-18T18:54:28Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211086 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-18T18:54:28Z |
| publishDate | 2020 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Kuan, Jeffrey 2025-12-23T13:12:17Z 2020 Determinantal Expressions in Multi-Species TASEP. Jeffrey Kuan. SIGMA 16 (2020), 133, 6 pages 1815-0659 2020 Mathematics Subject Classification: 60J27 arXiv:2007.02913 https://nasplib.isofts.kiev.ua/handle/123456789/211086 https://doi.org/10.3842/SIGMA.2020.133 Consider an inhomogeneous multi-species TASEP with drift to the left, and define a height function which equals the maximum species number to the left of a lattice site. For each fixed time, the multi-point distributions of these height functions have a determinantal structure. In the homogeneous case and for certain initial conditions, the fluctuations of the height function converge to Gaussian random variables in the large-time limit. The proof utilizes a coupling between the multi-species TASEP and a coalescing random walk, and previously known results for coalescing random walks. The author thanks Alexei Borodin and Alexey Bufetov for helpful conversations. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Determinantal Expressions in Multi-Species TASEP Article published earlier |
| spellingShingle | Determinantal Expressions in Multi-Species TASEP Kuan, Jeffrey |
| title | Determinantal Expressions in Multi-Species TASEP |
| title_full | Determinantal Expressions in Multi-Species TASEP |
| title_fullStr | Determinantal Expressions in Multi-Species TASEP |
| title_full_unstemmed | Determinantal Expressions in Multi-Species TASEP |
| title_short | Determinantal Expressions in Multi-Species TASEP |
| title_sort | determinantal expressions in multi-species tasep |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211086 |
| work_keys_str_mv | AT kuanjeffrey determinantalexpressionsinmultispeciestasep |