TY - JOUR
T1 - Exact formulas of the transition probabilities of the multi-species asymmetric simple exclusion process
AU - Lee, Eunghyun
N1 - Funding Information:
This work was supported by the faculty development competitive research grant (090118FD5341) by Nazarbayev University. The author is grateful for valuable comments from Jeffrey Kuan and Atsuo Kuniba on the multi-species ASEP. This research was supported in part by the International Centre for Theoretical Sciences (ICTS) at Bengaluru, India during a visit for participating in the program – Universality in random structures: Interfaces, Matrices, Sandpiles in 2019.
Publisher Copyright:
© 2020, Institute of Mathematics. All rights reserved.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2020
Y1 - 2020
N2 - 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.
AB - 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.
KW - ASEP
KW - Integrable probability
KW - Multi-species ASEP
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U2 - 10.3842/SIGMA.2020.139
DO - 10.3842/SIGMA.2020.139
M3 - Article
AN - SCOPUS:85098524409
SN - 1815-0659
VL - 16
SP - 1
EP - 9
JO - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
JF - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
M1 - 139
ER -