Determinantal point processes and spaces of holomorphic functions | Vidéo | Carmin.tv

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Determinantal point processes and spaces of holomorphic functions

Appears in collection : Chaire Jean-Morlet : Equation intégrable aux données initiales aléatoires / Jean-Morlet Chair : Integrable Equation with Random Initial Data

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.

Information about the video

Date of recording 09/04/2019
Date of publication 09/05/2019
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Luca Recanzone
Format MP4

Citation data

DOI 10.24350/CIRM.V.19515703
Cite this video Qiu, Yanqi (09/04/2019). Determinantal point processes and spaces of holomorphic functions. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19515703
URL https://dx.doi.org/10.24350/CIRM.V.19515703

Domain(s)

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

MSC codes

60G55 Point processes

Document(s)

https://www.cirm-math.fr/RepOrga/2104/Slides/Qui.pdf

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