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Wednesday, May 31, 2023 - 09:00 in ZOOM - Video Conference


Charge fluctuations in 2d Coulomb (and related) systems

A talk in the Seminar Zufallsmatrizen series by
Thomas Leble

Abstract: The "two-dimensional one-component plasma" (2DOCP) or "2d log-gas" is a system of statistical physics that can be seen as an extension of the Ginibre ensemble of RMT to "arbitrary temperatures". It exhibits excellent and somewhat surprising rigidity properties. I will review some of those with a focus on the most basic observable, namely the "number statistics" in a sub-system, and compare them to what is known for other 2d point processes of the same kind. Then I will sketch a proof of "hyperuniformity", which was predicted a long time ago by physicists, while emphasizing the distance remaining to the full extent of their statements.

Please contact Lucas Hackl (Lucas.Hackl@unimelb.edu.au) for details regarding access

Within the CRC this talk is associated to the project(s): C6



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