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Symmetry, Integrability and Geometry: Methods and Applications, 2020, Volume 16, 139, 9 pp.
DOI: https://doi.org/10.3842/SIGMA.2020.139 (Mi sigma1675) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Exact Formulas of the Transition Probabilities of the Multi-Species Asymmetric Simple Exclusion Process

Eunghyun Lee

Nazarbayev University, Nur-sultan, Kazakhstan
Full-text PDF (328 kB) Citations (3)
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DOI: https://doi.org/10.3842/SIGMA.2020.139
Abstract: We find the formulas of the transition probabilities of the $N$-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.
Keywords: ASEP, multi-species ASEP, integrable probability.
Funding agency Grant number
Nazarbayev University 090118FD5341
This work was supported by the faculty development competitive research grant (090118FD5341) by Nazarbayev University.
Received: September 17, 2020; in final form December 15, 2020; Published online December 20, 2020
Bibliographic databases:
Document Type: Article
MSC: 82C22, 60J27
Language: English
Citation: Eunghyun Lee, “Exact Formulas of the Transition Probabilities of the Multi-Species Asymmetric Simple Exclusion Process”, SIGMA, 16 (2020), 139, 9 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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