Fluctuations of the Two-Dimensional One-Component Coulomb Plasma

by Prof. Roland Bauerschmidt (Cambridge & IHES)

Wednesday Sep 13, 2017, 3:00 PM → 4:00 PM Europe/Paris

Amphithéâtre Léon Motchane (IHES)

The two-dimensional one-component Coulomb plasma is an ensemble of identical charges in the plane repelling each other via the logarithmic Coulomb potential and confined by an external potential. I will discuss results that show that the fluctuations of linear statistics of many particles are of order 1 and given by a Gaussian free field, at any temperature. This is joint work with P. Bourgade, M. Nikula, and H.-T. Yau.