Probability and Mathematical Physics Seminar

The dipole phase transition in the 2D Coulomb gas

Time and Location:

April 25, 2025 at 11:10AM; Warren Weaver Hall, Room 1302

Speaker:

Jeanne Boursier, Columbia University

Link:

Seminar homepage

Abstract:

The 2D two-component Coulomb gas is expected to exhibit an infinite sequence of phase transitions driven by the divergence of 2k-poles, accumulating at the Berezinskii-Kosterlitz-Thouless (BKT) temperature. I will discuss joint work with Sylvia Serfaty in which we provide a rigorous proof of this "dipole transition." Our proof is based on the analysis of dipole pairs and large deviations techniques. I will also discuss multipoles transitions and the BKT transition.