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Palm equivalence and quasi-symmetries of determinantal point processes associated with Hilbert spaces of holomorphic functions
Post-edited
Authors : Qiu, Yanqi (Author of the conference)
CIRM (Publisher )
46E20 - Hilbert spaces of continuous, differentiable or analytic functions
60G55 - Point processes
30H20 - Bergman spaces, Fock spaces
CIRM (Publisher )
Abstract :
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.
MSC Codes : 46E20 - Hilbert spaces of continuous, differentiable or analytic functions
60G55 - Point processes
30H20 - Bergman spaces, Fock spaces
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 08/03/17 Conference Date : 27/02/17 Subseries : Research talks arXiv category : Functional Analysis ; Probability ; Mathematical Physics Mathematical Area(s) : Probability & Statistics ; Mathematical Physics ; Analysis and its Applications Format : MP4 (.mp4) - HD Video Time : 00:44:53 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2017-02-27_Qiu.mp4 
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Information on the Event
Event Title : Random matrices and determinantal process / Matrices aléatoires. Processus déterminantauxEvent Organizers : Bufetov, Alexander ; Chhaibi, Reda ; Grava, Tamara ; Kuijlaars, Arno ; Krasovsky, Igor ; Nikitin, Pavel ; Savin, Dmitry Dates : 27/02/17 - 03/03/17 Event Year : 2017 Event URL : http://conferences.cirm-math.fr/1715.html
Citation Data
DOI : 10.24350/CIRM.V.19135003Cite 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 |
See Also
- [Multi angle] A functional limit theorem for the sine-process / Author of the conference Dymov, Andrey.
- [Multi angle] Conditioned determinantal processes are determinantal / Author of the conference Shamov, Alexander.
- [Multi angle] The Airy point process in the two-periodic Aztec diamond / Author of the conference Johansson, Kurt.
Bibliography
- 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.
- Bufetov, A.I., Qiu, Y., & Shamov, A. (2016). Kernels of conditional determinantal measures.
- Bufetov, A.I., Dabrowski, Y. & Qiu, Y. (2016). Linear rigidity of stationary stochastic processes.
- 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
