Wednesday, November 23, 2022 - 09:00 in ZOOM - Video Conference
Asymptotic normality of smooth statistics for planar determinantal point processes
A talk in the Seminar Zufallsmatrizen series by
Antti Haimi from University of Vienna
| Abstract: |
I will discuss smooth linear statistics of determinantal point processes on the
complex plane, and their large scale asymptotics. I will show a CLT in the case
where variance stays bounded, and consequently Soshnikov's theorem is not
applicable. The setting is similar to that of Rider and Virág for the complex
plane, but replaces analyticity conditions by the assumption that the
correlation kernel is reproducing. Our proof is a streamlined version of that of
Ameur, Hedenmalm and Makarov for eigenvalues of normal random matrices,
where we use the reproducing property in order to compensate for the lack of
analyticity and radial symmetries.
Joint work with José Luis Romero.
Please contact Leslie Molag (lmolag@math.uni-bielefeld.de) for details regarding access.
Within the CRC this talk is associated to the project(s): C6 |
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