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

Abstract

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.

45 pages

References in corpus (1)

• Infinite random matrices and ergodic measures

Cited by in corpus (1)

• Infinite Random Matrices and Ergodic decomposition of Finite or Infinite Hua-Pickrell measures