Wednesday, June 24, 2020 - 09:00 in ZOOM - Video Conference
Fluctuations of beta-ensembles in the high temperature regime
A talk in the Seminar Zufallsmatrizen series by
Gaultier Lambert from Universität Zürich
| Abstract: |
I will report on recent results from arXiv:1909.01142 (joint work with Adrien Hardy) and arXiv:1912.10261 on beta-ensembles (and Coulomb gas in higher dimension) in the so-called high temperature regime. I will first explain what is the high temperature regime, how it differs from the usual fixed $\beta$ regime and why it is interesting. Then, I will present different theorems which characterize the fluctuations of the particles in the large $N$ limit. I will first explain the large deviations principle and a central limit theorem which describes the fluctuations of the empirical measure. Then, I will show that local configurations converge to a Poisson point process in the bulk.
For further information, please contact Prof. Dr. Gernot Akemann: akemann@physik.uni-bielefeld.de
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