CHARACTERIZATION OF BROWNIAN GIBBSIAN LINE ENSEMBLES

• 成果类型: Article
• 署名作者: Dimitrov, Evgeni; Matetski, Konstantin
• 署名单位: Columbia University
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/21-AOP1513
• 发表日期: 2021
• 页码: 2477-2529
• 关键词: polymer; fluctuations; eigenvalues; LIMITS; kpz

摘要

In this paper we show that a Brownian Gibbsian line ensemble is completely characterized by the finite-dimensional marginals of its top curve, that is, the finite-dimensional sets of the top curve form a separating class. A particular consequence of our result is that the parabolic Airy line ensemble is the unique Brownian Gibbsian line ensemble, whose top curve is the parabolic Airy(2) process.