Stationary Distribution of open Asymmetric Simple Exclusion Processes on an Interval as a marginal of a two-layer ensemble

Autor:	Bryc, Wlodek
Rok vydání:	2024
Předmět:	Mathematics - Probability Mathematical Physics
Druh dokumentu:	Working Paper
Popis:	We investigate the asymmetric simple exclusion process (ASEP) on an interval with open boundaries. We provide a representation for its stationary distribution as a marginal of the top layer of a two-layer ensemble under Liggett's condition. The representation is valid in the fan region and in the shock region, extending the representation previously obtained in [Bryc-Zatitskii-2024 arXiv:2403.03275] to ASEP. We also give a recursion for the two-layer weight function. Comment: Expanded version with more details. 17 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2408.06535 Zobrazit plný text záznamu View this record from Arxiv