LEE, Eunghyun2022-07-152022-07-152020Lee, E. (2020). Exact Formulas of the Transition Probabilities of the Multi-Species Asymmetric Simple Exclusion Process. Symmetry, Integrability and Geometry: Methods and Applications. https://doi.org/10.3842/sigma.2020.139http://nur.nu.edu.kz/handle/123456789/6444We find the formulas of the transition probabilities of the N-particle multi species asymmetric simple exclusion processes (ASEP), and show that the transition prob abilities 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.enAttribution-NonCommercial-ShareAlike 3.0 United StatesType of access: Open AccessASEPmulti-species ASEPintegrable probabilityExact Formulas of the Transition Probabilities of the Multi-Species Asymmetric Simple Exclusion ProcessArticle