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

• 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
• 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

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...