Klara Courteaut

collaborators

2 papers

math.CV2025

Planar Coulomb gas on a Jordan arc at any temperature

Klara Courteaut, Kurt Johansson, Fredrik Viklund

We study a planar Coulomb gas confined to a sufficiently smooth Jordan arc $I^^{3}$ in the complex plane, at inverse temperature $I^^{2} > 0$ . Let \[\bar{Z}_{n}^Î²(Î³) = Z_{n}^Î²(Î³)/\left(…

math.PR2025

Partition function for the 2d Coulomb gas on a Jordan curve

Klara Courteaut, Kurt Johansson

We prove an asymptotic formula for the partition function of a 2d Coulomb gas at inverse temperature $I^^{2} > 0$ confined to lie on a Jordan curve. This also gives a central limit theor…