Séminaire de probabilités et physique statistique de l'IHES

# Fluctuations of the Two-Dimensional One-Component Coulomb Plasma

## by Prof. Roland Bauerschmidt (Cambridge & IHES)

Europe/Paris
Amphithéâtre Léon Motchane (IHES)

### Amphithéâtre Léon Motchane

#### IHES

Le Bois-Marie 35, route de Chartres 91440 Bures-sur-Yvette
Description
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.
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