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

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Arkiv för Matematik

Abstract

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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Authors and Affiliations

  1. Aix-Marseille Université, Centrale Marseille, CNRS, I2M, UMR7373, 39 Rue F. Joliot Curie, FR-13453, Marseille Cedex 13, France

    Alexander I. Bufetov & Yanqi Qiu

  2. Steklov Institute of Mathematics, Moscow, Russia

    Alexander I. Bufetov

  3. Institute for Information Transmission Problems, Moscow, Russia

    Alexander I. Bufetov

  4. National Research University Higher School of Economics, Moscow, Russia

    Alexander I. Bufetov

Authors
  1. Alexander I. Bufetov
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  2. Yanqi Qiu
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Correspondence to Yanqi Qiu.

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Bufetov, A.I., Qiu, Y. The explicit formulae for scaling limits in the ergodic decomposition of infinite Pickrell measures. Ark Mat 54, 403–435 (2016). https://doi.org/10.1007/s11512-016-0230-x

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  • DOI: https://doi.org/10.1007/s11512-016-0230-x

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