Abstract
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.
| Original language | English |
|---|---|
| Article number | 139 |
| Pages (from-to) | 1-9 |
| Number of pages | 9 |
| Journal | Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) |
| Volume | 16 |
| DOIs | |
| Publication status | Published - 2020 |
Funding
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.
Keywords
- ASEP
- Integrable probability
- Multi-species ASEP
ASJC Scopus subject areas
- Analysis
- Mathematical Physics
- Geometry and Topology
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