ASEP via Mallows coloring
Probability
2024-08-30 v1 Mathematical Physics
math.MP
Abstract
In this paper we study the asymptotic behavior of the Asymmetric Simple Exclusion Process (=ASEP) with finitely many particles. It turns out that a certain randomized initial condition is the most amenable to such an analysis. Our main result is the behavior of such an ASEP in the KPZ limit regime. A key technical tool introduced in the paper -- the coloring of ASEP particles with the use of random Mallows permutations -- may be of independent interest.
Cite
@article{arxiv.2408.16585,
title = {ASEP via Mallows coloring},
author = {Alexei Borodin and Alexey Bufetov},
journal= {arXiv preprint arXiv:2408.16585},
year = {2024}
}
Comments
13 pages