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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 )

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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

    Réalisateur : Hennenfent, Guillaume
    Langue : Anglais
    Date de publication : 08/03/17
    Date de captation : 27/02/17
    Collection : Research talks
    Format : MP4 (.mp4) - HD
    Durée : 00:44:53
    Domaine : Probability & Statistics ; Mathematical Physics ; Analyse & Applications
    Audience : Chercheurs ; Doctorants , Post - Doctorants
    Download : http://videos.cirm-math.fr/2017-02-27_Qiu.mp4

Informations sur la rencontre

Nom du congrès : Random matrices and determinantal process / Matrices aléatoires. Processus déterminantaux
Organisteurs Congrès : Bufetov, Alexander ; Chhaibi, Reda ; Grava, Tamara ; Kuijlaars, Arno ; Krasovsky, Igor ; Nikitin, Pavel ; Savin, Dmitry
Dates : 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

Voir aussi


  1. Bufetov, A.I., & Qiu, Y. (2017). Determinantal Point Processes Associated with Hilbert Spaces of Holomorphic Functions. Communications in Mathematical Physics, 351(1), 1-44 - http://dx.doi.org/10.1007/s00220-017-2840-y

  2. Bufetov, A.I., & Qiu, Y. (2016). Conditional measures of generalized Ginibre point processes. - https://arxiv.org/abs/1608.03736

  3. Bufetov, A.I., Qiu, Y., & Shamov, A. (2016). Kernels of conditional determinantal measures. - https://arxiv.org/abs/1612.06751

  4. Bufetov, A.I., Dabrowski, Y. & Qiu, Y. (2016). Linear rigidity of stationary stochastic processes. - https://arxiv.org/abs/1507.00670

  5. Bufetov, A.I., & Qiu, Y. (2015). Equivalence of Palm measures for determinantal point processes associated with Hilbert spaces of holomorphic functions.Comptes Rendus. Mathématique. Académie des Sciences, Paris, 353(6), 551-555 - http://dx.doi.org/10.1016/j.crma.2015.03.018