The explicit formulae for scaling limits in the ergodic decomposition of   infinite Pickrell measures
  The main result of this paper, Theorem 1.1, gives explicit formulae for the kernels of the ergodic decomposition measures for infinite Pickrell measures on spaces of infinite complex matrices. The kernels are obtained as the scaling limits of Christoffel-Uvarov deformations of Jacobi orthogonal polynomial ensembles. 
Alexander I. Bufetov, Yanqi Qiu
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