The explicit formulae for scaling limits in the ergodic decomposition of infinite Pickrell measures

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• 作者：Alexander I. Bufetov ; Yanqi Qiu
• 刊名：Arkiv f?r Matematik
• 出版年：2016
• 出版时间：October 2016
• 年：2016
• 卷：54
• 期：2
• 页码：403-435
• 全文大小：1,198 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  
• 出版者：Springer Netherlands
• ISSN：1871-2487
• 卷排序：54

文摘

The main result of this paper, Theorem 1.5, gives explicit formulae for the kernels of the ergodic decomposition measures for infinite Pickrell measures on the space of infinite complex matrices. The kernels are obtained as the scaling limits of Christoffel-Uvarov deformations of Jacobi orthogonal polynomial ensembles.