Some recent progress on the 2d one-component plasma

Abstract: The two-dimensional one-component “plasma” or “Coulomb gas” is an important model of statistical physics, which has a close connection with eigenvalues of random matrices, with zeroes of Gaussian analytic functions, and with determinantal point processes. I will give an overview of some recent results showing a strong form of “order” among this system at all temperatures: hyperuniformity, number-rigidity, translation-invariance… some of which were predicted long ago in the physics literature. Figuring out its phase portrait remains nonetheless an open question

mathematical physics

Audience: researchers in the discipline

One world IAMP mathematical physics seminar

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