CIRM - Videos & books Library - Palm equivalence and quasi-symmetries of determinantal point processes associated with Hilbert spaces of holomorphic functions

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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

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Hennenfent, Guillaume

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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 déterminantaux
Organisateurs de la rencontre : 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

Données de citation

DOI : 10.24350/CIRM.V.19135003
Citer cette vidéo: 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

[Multi angle] A functional limit theorem for the sine-process / Auteur de la Conférence Dymov, Andrey.
[Multi angle] Conditioned determinantal processes are determinantal / Auteur de la Conférence Shamov, Alexander.
[Multi angle] The Airy point process in the two-periodic Aztec diamond / Auteur de la Conférence Johansson, Kurt.

Bibliographie

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

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

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

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

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

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