Random matrices and determinantal process / Matrices aléatoires. Processus déterminantaux

Collection Random matrices and determinantal process / Matrices aléatoires. Processus déterminantaux

Organisateur(s) Bufetov, Alexander ; Chhaibi, Reda ; Grava, Tamara ; Kuijlaars, Arno ; Krasovsky, Igor ; Nikitin, Pavel ; Savin, Dmitry

Date(s) 27/02/2017 - 03/03/2017

URL associée http://conferences.cirm-math.fr/1715.html

00:00:00 / 00:00:00

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Chapitres

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

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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.

Informations sur la vidéo

Date de captation 27/02/2017
Date de publication 08/03/2017
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.19135003
Citer cette vidéo Qiu, Yanqi (27/02/2017). 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
URL https://dx.doi.org/10.24350/CIRM.V.19135003

Domaine(s)

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. <arXiv:1608.03736> - https://arxiv.org/abs/1608.03736
Bufetov, A.I., Qiu, Y., & Shamov, A. (2016). Kernels of conditional determinantal measures. <arXiv:1612.06751> - https://arxiv.org/abs/1612.06751
Bufetov, A.I., Dabrowski, Y. & Qiu, Y. (2016). Linear rigidity of stationary stochastic processes. <arXiv:1507.00670> - 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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