ASEP via Mallows coloring

التفاصيل البيبلوغرافية
العنوان: ASEP via Mallows coloring
المؤلفون: Borodin, Alexei, Bufetov, Alexey
سنة النشر: 2024
المجموعة: Mathematics
Mathematical Physics
مصطلحات موضوعية: Mathematics - Probability, Mathematical Physics
الوصف: 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.
Comment: 13 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2408.16585
رقم الأكسشن: edsarx.2408.16585
قاعدة البيانات: arXiv