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

Symmetry Integrability and Geometry-Methods and Applications

article

Eunghyun Lee¹ 

[1] Nazarbayev University

关键词: ASEP;    multi-species ASEP;    integrable probability 2020 Mathematics Subject Classification 82C22;    60J27;   

DOI  :  10.3842/SIGMA.2020.139

来源: National Academy of Science of Ukraine

【 摘 要 】

We find the formulas of the transition probabilities of the $N$-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 initial state.

【 授权许可】

Unknown