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

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2022
• Hauptverfasser: Lee, Eunghyun, Raimbekov, Temirlan
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2022
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/211537
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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 particles is expressed as a sum of ! -fold contour integrals, which are related to permutations in the symmetric group . On the other hand, the transition probabilities of the multi-species ASEP, in general, may be ex...