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H 2 Palm equivalence and quasi-symmetries of determinantal point processes associated with Hilbert spaces of holomorphic functions

Auteurs : Qiu, Yanqi (Auteur de la Conférence)
CIRM (Editeur )

 Loading the player... Bergman kernels determinantal point processes Palm measures Ginibre point process Palm equivalence $H^\infty(U)$-module conditional measures Ghosh-Peres rigidity quasi-symmetries questions of the audience

Résumé : Two important examples of the determinantal point processes associated with the Hilbert spaces of holomorphic functions are the Ginibre point process and the set of zeros of the Gaussian Analytic Functions on the unit disk. In this talk, I will talk such class of determinantal point processes in greater generality. The main topics concerned are the equivalence of the reduced Palm measures and the quasi-invariance of these point processes under certain natural group action of the group of compactly supported diffeomorphisms of the phase space. This talk is based partly on the joint works with Alexander I. Bufetov and partly on a more recent joint work with Alexander I. Bufetov and Shilei Fan.

Codes MSC :
46E20 - Hilbert spaces of continuous, differentiable or analytic functions
60G55 - Point processes
30H20 - Bergman spaces, Fock spaces

 Informations sur la Vidéo Langue : Anglais Date de publication : 08/03/17 Date de captation : 27/02/17 Collection : Research talks ; Analysis and its Applications ; Mathematical Physics ; Probability and Statistics Format : MP4 (.mp4) - HD Durée : 00:44:53 Domaine : Probability & Statistics ; Mathematical Physics ; Analysis and its Applications Audience : Chercheurs ; Doctorants , Post - Doctorants Download : https://videos.cirm-math.fr/2017-02-27_Qiu.mp4 Informations sur la rencontre Nom de la rencontre : Random matrices and determinantal process / Matrices aléatoires. Processus déterminantauxOrganisateurs de la rencontre : Bufetov, Alexander ; Chhaibi, Reda ; Grava, Tamara ; Kuijlaars, Arno ; Krasovsky, Igor ; Nikitin, Pavel ; Savin, DmitryDates : 27/02/17 - 03/03/17 Année de la rencontre : 2017 URL Congrès : http://conferences.cirm-math.fr/1715.html Citation Data DOI : 10.24350/CIRM.V.19135003 Cite this video as: Qiu, Yanqi (2017). Palm equivalence and quasi-symmetries of determinantal point processes associated with Hilbert spaces of holomorphic functions. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19135003 URI : http://dx.doi.org/10.24350/CIRM.V.19135003

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