2 papers
math.PR2025
On the convoy of the ASEP speed process
Yuan Tian
We investigate the size of the convoy in the speed process in the multi-species asymmetric simple exclusion process (ASEP). Through a coupling argument, we obtain an exact formula…
math.PR2025
The oriented swap process on half line
Yuan Tian
In this paper we study the oriented swap process on the positive integers and its asymptotic properties. Our results extend a theorem by Angel, Holroyd, and Romik regarding the tra…