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

Alexander I. Bufetov Aix-Marseille Université, Centrale Marseille, CNRS, I2M, UMR7373, 39 Rue F. Joliot Curie, Marseille Cedex 13, France Yanqi Qiu Aix-Marseille Université, Centrale Marseille, CNRS, I2M, UMR7373, 39 Rue F. Joliot Curie, Marseille Cedex 13, France

Analysis of PDEs Functional Analysis mathscidoc:1701.03015

Arkiv for Matematik, 1-33, 2015.1
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.
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@inproceedings{alexander2015the,
  title={The explicit formulae for scaling limits in the ergodic decomposition of infinite Pickrell measures},
  author={Alexander I. Bufetov, and Yanqi Qiu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203407145016819},
  booktitle={Arkiv for Matematik},
  pages={1-33},
  year={2015},
}
Alexander I. Bufetov, and Yanqi Qiu. The explicit formulae for scaling limits in the ergodic decomposition of infinite Pickrell measures. 2015. In Arkiv for Matematik. pp.1-33. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203407145016819.
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