Alexander BUFETOV – Mesures conditionnelles des processus déterminantaux 17 mars 20172 mars 2017 adminFrumam Carte non disponible Date/heure Date(s) - 17/03/201711 h 00 min - 12 h 00 min Catégories Pas de Catégories 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:1605.01400as well as on the preprint arXiv:1612.06751 joint with Yanqi Qiu and Alexander Shamov. Webpage Alexander BUFETOV [