Determinantal Expressions in Multi-Species TASEP

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Author: Kuan, Jeffrey
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211086
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Determinantal Expressions in Multi-Species TASEP. Jeffrey Kuan. SIGMA 16 (2020), 133, 6 pages

Consider an inhomogeneous multi-species TASEP with drift to the left, and define a height function which equals the maximum species number to the left of a lattice site. For each fixed time, the multi-point distributions of these height functions have a determinantal structure. In the homogeneous ca...