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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

Mesures conditionnelles des processus déterminantaux

Alexander Bufetov
I2M, Aix-Marseille Université
/user/alexander.bufetov/

Date(s) : 17/03/2017   iCal
11h00 - 12h00

Determinantal point processes arise in many different problems:
spanning trees and Gaussian zeros, random matrices and representations of infinite-dimensional groups. How does the determinantal property behave under conditioning?
The talk will first address this question for specific examples such as the sine-process, where one can explicitly write the analogue of the Gibbs condition in our situation.
We will then consider the general case, where, in joint work with Yanqi Qiu and Alexander Shamov, it is shown that the determinantal property is preserved under conditioning and a proof is given of the Lyons-Peres conjecture on completeness of random kernels.

The talk is based on the preprint arXiv:1605.01400
as well as on the preprint arXiv:1612.06751 joint with Yanqi Qiu and Alexander Shamov.

 

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