Simplified Forms of the Transition Probabilities of the Two-Species ASEP with Some Initial Orders of Particles

It has been known that the transition probability of the single-species ASEP with 𝑁 particles is expressed as a sum of 𝑁! 𝑁-fold contour integrals, which are related to permutations in the symmetric group 𝑆𝑁. On the other hand, the transition probabilities of the multi-species ASEP, in general, may...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2022
Main Authors: Lee, Eunghyun, Raimbekov, Temirlan
Format: Article
Language:English
Published: Інститут математики НАН України 2022
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/211537
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Simplified Forms of the Transition Probabilities of the Two-Species ASEP with Some Initial Orders of Particles. Eunghyun Lee and Temirlan Raimbekov. SIGMA 18 (2022), 008, 24 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine