Half-space Airy line ensembles

• 成果类型: Article; Early Access
• 署名作者: Dimitrov, Evgeni; Yang, Zongrui
• 署名单位: University of Southern California; Columbia University
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051; 1432-2064
• DOI: 10.1007/s00440-026-01469-x
• 发表日期: 2026-02-24
• 关键词: SCHUR PROCESS; partial sums; approximation; asymptotics; unitary; THEOREM; limit; MODEL; edge; asep

摘要

We construct a one-parameter family of infinite line ensembles on [0,infinity)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$[0, \infty )$$\end{document} that are natural half-space analogues of the Airy line ensemble. Away from the origin these ensembles are locally described by avoiding Brownian bridges, and near the origin they are described by a sequence of avoiding reverse Brownian motions with alternating drifts, that depend on the parameter of the model. In addition, the restrictions of our ensembles to finitely many vertical lines form Pfaffian point processes with the crossover kernels obtained by Baik-Barraquand-Corwin-Suidan (Baik et al., Ann. Probab. 46(6):3015-3089, 2018).