Eric Thoma, Stanford University
Event Date
2025-09-16
Event Time
03:30 pm ~ 04:30 pm
Event Location
Wachman 617
The Coulomb gas is a statistical physics model consisting of N particles interacting with electrostatic repulsion and with a confining potential. I will first review results on the microscopic structure on the gas. Then, 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 while generalizing bounds known for the Ginibre ensemble, and it also explains how Poisson point process statistics take over in the high-temperature regime.