PreprintCC BY 4.0arXiv
Stationary Measures and Boundary Correlations for Multispecies Half-Line ASEP
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.
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BibTeX
@misc{bufetov2026stationary,
title = {{Stationary Measures and Boundary Correlations for Multispecies Half-Line ASEP}},
author = {Alexey Bufetov and Yuan Tian},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.34530},
eprint = {2610.34530},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.34530},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Stationary Measures and Boundary Correlations for Multispecies Half-Line ASEP
AU - Alexey Bufetov
AU - Yuan Tian
PY - 2026
DA - 2026/10/25
PB - arXiv
DO - 10.48550/arxiv.2610.34530
UR - https://arxiv.org/abs/2610.34530
AB - 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.
ER -