SMS scnews item created by Jae Min Lee at Fri 20 Oct 2023 1201
Type: Seminar
Distribution: World
Calendar1: 25 Oct 2023 1300-1400
CalLoc1: Carslaw 373
CalTitle1: Applied Maths Seminar: Determinantal point processes on spheres: Multivariate linear statistics (Feng)
Auth: jlee@210.84.44.22 (jlee5218) in SMS-SAML

Applied Maths Seminar: Feng -- Determinantal point processes on spheres: Multivariate linear statistics

Dear all, 

Our upcoming AM seminar is held next Wednesday 25 October at 1pm in F07 Carslaw Lecture
Theatre 373.  Our speaker is Renjie Feng (University of Sydney).  

Talk details follow below: 

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Title: Determinantal point processes on spheres: Multivariate linear statistics 

Abstract: I will talk about the multivariate linear statistics (also known as
U-statistics) of determinantal point processes on unit spheres.  I will first present a
graphical representation for the cumulants of the multivariate linear statistics,
extending the famous Soshnikov’s formula for the univariate case.  Then I will explain
how we derive the 1st and 2nd Wiener chaos using this graphical representation.  We
computed sphere cases as introductory examples, but the method can be applied to any
other determinantal point processes.  This is based on the joint work with F.  Goetze
and D.  Yao.
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An ongoing list of AM seminars is posted here:
https://www.maths.usyd.edu.au/u/SemConf/Applied.html 

See you there, Jae Min


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