Probability and Mathematical Physics Seminar

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The dipole phase transition in the 2D Coulomb gas

Speaker: Jeanne Boursier, Columbia University

Location: Warren Weaver Hall 1302

Date: Friday, April 25, 2025, 11:10 a.m.

Synopsis:

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.