CONTOUR INTEGRAL FORMULAS FOR PUSHASEP ON THE RING

• 成果类型: Article
• 署名作者: Li, Jhih-huang; Saenz, Axel
• 署名单位: National Taiwan University; Oregon State University
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/24-AOP1738
• 发表日期: 2025
• 页码: 1434-1490
• 关键词: fluctuations; tasep; limit

摘要

We give contour integral formulas for the generating function of the joint distribution of the PushASEP on a ring. We obtained these formulas through a rigorous treatment of Bethe ansatz. The approach relies on residue computations and controlling the location of the Bethe roots, which we achieve by partially decoupling the Bethe equations and extending the system of equations. Moreover, we are able to use our formulas to compute the asymptotic fluctuations for the flat and step initial conditions at the relaxation time scale.