Localisation

Adresses

Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
Site Saint-Charles : 3 place Victor Hugo, Case 19, 13331 Marseille Cedex 3
Site Luminy : Campus de Luminy - Case 907 - 13288 Marseille Cedex 9

Séminaire

Infinite determinantal measures and the ergodic decomposition of infinite Pickrell measures

Alexander Bufetov
I2M, CNRS, Marseille
/user/alexander.bufetov/

Date(s) : 22/04/2014   iCal
14h00 - 15h00

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.

https://hal.archives-ouvertes.fr/EC-MARSEILLE/hal-00933357

 

Catégories


Secured By miniOrange