Title: Maximum principle techniques and the Coulomb gas

Abstract: The Coulomb gas is a statistical physics model consisting of N particles interacting with electrostatic repulsion and with a global confining potential. I will show how a certain subharmonic structure associated with the k-point correlation function arises. This structure implies new bounds on quantities such as the furthest particle from the origin, generalizing bounds known for the Ginibre ensemble, and it also explains how Poissonian statistics takes over in the high-temperature regime below the rigidity length scale.

Zoom link: https://huji.zoom.us/j/81289709987?pwd=EpfeX0w8xYc5yinjKYWP1mRcIgVxeC.1