Year: 2026
Type: preprint
Abstract: We construct stationary measures of the multispecies ASEP on the positive half-line, with injection of highest-priority particles at the left boundary, using vertex models. Our results extend existing constructions of Martin and Aggarwal-Nicoletti-Petrov for the full-line ASEP to the half-line. For the two-species process, we compute the joint distribution of occupation colors at the first two sites. We also partially address the connection with the half-space ASEP speed process.
Source: arXiv (Cornell University)
Authors: Bufetov, Alexey, Tian, Yuan
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223928906