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Event

Jeanne Boursier (Columbia University)

Thursday, October 3, 2024 11:30to12:30
Burnside Hall Room 719A, 805 rue Sherbrooke Ouest, Montreal, QC, H3A 0B9, CA

Title: The dipole phase transition in the 2D Coulomb gas

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 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.

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