Infinite determinantal measures and the ergodic decomposition of infinite Pickrell measures

Alexander Bufetov
I2M, CNRS, Marseille

Date(s) : 22/04/2014   iCal
14 h 00 min - 15 h 00 min

The main result of the talk gives an explicit description of the ergodic decomposition for infinite Pickrell measures on spaces of infinite complex matrices. The main construction is that of sigma-finite analogues of determinantal measures on spaces of configurations. An example is the infinite Bessel point process, the scaling limit of sigma-finite analogues of Jacobi orthogonal polynomial ensembles. The statement is that the infinite Bessel point process (subject to an appropriate change of variables) is precisely the ergodic decomposition measure for infinite Pickrell measures.



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