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Determinantal point processes and spaces of holomorphic functions

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Authors : Qiu, Yanqi (Author of the conference)
CIRM (Publisher )

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Abstract : The determinantal point processes arise naturally from different areas such as random matrices, representation theory, random graphs and zeros of holomorphic functions etc. In this talk, we will briefly talk about determinantal point processes related to spaces of holomorphic functions, in particular, we will discuss some results concerning the conditional measures, rigidity property and the Olshanskis problem on this area. The talk will be based on several works joint with Alexander Bufetov, Alexander Shamov and Shilei Fan.

MSC Codes :
60G55 - Point processes
Additional resources :
https://www.cirm-math.fr/RepOrga/2104/Slides/Qui.pdf
    Information on the Video

    Language : English
    Available date : 09/05/2019
    Conference Date : 09/04/2019
    Subseries : Research talks
    arXiv category : Probability ; Mathematical Physics ; Dynamical Systems
    Mathematical Area(s) : Mathematical Physics ; Probability & Statistics
    Format : MP4 (.mp4) - HD
    Video Time : 00:44:12
    Targeted Audience : Researchers
    Download : https://videos.cirm-math.fr/2019-04-09_Qiu.mp4
Information on the Event

Event Title : Chaire Jean-Morlet : Equation intégrable aux données initiales aléatoires / Jean-Morlet Chair : Integrable Equation with Random Initial Data
Event Organizers : Basor, Estelle ; Bufetov, Alexander ; Cafasso, Mattia ; Grava, Tamara ; McLaughlin, Ken
Dates : 08/04/2019 - 12/04/2019
Event Year : 2019
Event URL : https://www.chairejeanmorlet.com/2104.html

Citation Data

DOI : 10.24350/CIRM.V.19515703
Cite this video as: Qiu, Yanqi (2019). Determinantal point processes and spaces of holomorphic functions. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19515703
URI : http://dx.doi.org/10.24350/CIRM.V.19515703

Bibliography

  • BUFETOV, Alexander I. et QIU, Yanqi. Determinantal point processes associated with Hilbert spaces of holomorphic functions. Communications in Mathematical Physics, 2017, vol. 351, no 1, p. 1-44. - https://arxiv.org/abs/1411.4951


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