Date
Mon January 13th 2025, 4:00pm
Location
Sequoia 200
Speaker
Eric Thoma, Stanford Math
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 function arises. This structure implies new bounds on quantities such as the furthest particle from the origin while generalizing bounds known for the Ginibre ensemble, and it also explains how Poisson point-process statistics takes over in the high-temperature regime below the rigidity length scale.