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

• Опубліковано в: Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2022
• ISSN: 1815-0659
• Автори: Lee, Eunghyun, Raimbekov, Temirlan
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2022
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/211537
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: 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...