2024/08/29 by Alexei Borodin, Borodin, Alexei, Alexey Bufetov +1
Biochemistry, Genetics and Molecular Biology · Computer Science · #DNA and Biological Computing #FOS: Mathematics #FOS: Physical sciences #Machine Learning and Data Classification #Mathematical Physics (math-ph) #Probability (math.PR)
paper · pdf · doi:10.48550/arxiv.2408.16585
openalex publication_date 2024/08/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.