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

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Author: Lee, Eunghyun
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211080
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Exact Formulas of the Transition Probabilities of the Multi-Species Asymmetric Simple Exclusion Process. Eunghyun Lee. SIGMA 16 (2020), 139, 9 pages

We find the formulas of the transition probabilities of the -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 initia...