Interlacing adjacent levels of β-Jacobi corners processes

• 成果类型: Article
• 署名作者: Gorin, Vadim; Zhang, Lingfu
• 署名单位: Massachusetts Institute of Technology (MIT); Kharkevich Institute for Information Transmission Problems of the RAS; Russian Academy of Sciences; Princeton University
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-017-0823-8
• 发表日期: 2018
• 页码: 915-981
• 关键词: young-diagrams

摘要

We study the asymptotics of the global fluctuations for the difference between two adjacent levels in the extension of the classical Jacobi ensemble of random matrices). The limit is identified with the derivative of the 2d Gaussian free field. Our main tools are integral forms for the (Macdonald-type) difference operators originating from the shuffle algebra.