Stationary Measures and Boundary Correlations for Multispecies Half-Line ASEP

Source 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.