COLOR-POSITION SYMMETRY IN INTERACTING PARTICLE SYSTEMS

• 成果类型: Article
• 署名作者: Borodin, Alexei; Bufetov, Alexey
• 署名单位: Massachusetts Institute of Technology (MIT); University of Bonn; University of Bonn
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/20-AOP1463
• 发表日期: 2021
• 页码: 1607-1632
• 关键词: stochastic telegraph equation; simple exclusion process; hydrodynamical limit; shock fluctuations; ergodic theorems; tasep; asep; GROWTH; speed

摘要

We prove a color-position symmetry for a class of ASEP-like interacting particle systems with discrete time on the one-dimensional lattice. The full space-time inhomogeneity of our systems allows to apply the result to colored (or multi-species) ASEP and stochastic vertex models for a certain class of initial/boundary conditions, generalizing previous results of Amir-AngelValko and Borodin-Wheeler. We are also able to use the symmetry, together with previously known results for uncolored models, to find novel asymptotic behavior of the second-class particles in several situations.