Kurt Johansson

activity

20232026

collaborators

3 papers

math.CV2026

Limit theorems for Coulomb gases on a Jordan curve in an external potential

Kurt Johansson, Thomas Wolfs

We consider a Coulomb gas on a Jordan curve $γ$ in an external potential $V$ at inverse temperature $β > 0$ and obtain an asymptotic expansion of the free energy up to $o (1)$ and a c…

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 $γ$ in the complex plane, at inverse temperature $β > 0$ . Let \[\bar{Z}_{n}^β(γ) = Z_{n}^β(γ)/\left(2 \tex…

math.CV2023

Coulomb gas and the Grunsky operator on a Jordan domain with corners

Kurt Johansson, Fredrik Viklund

Let $D$ be a Jordan domain of unit capacity. We study the partition function of a planar Coulomb gas in $D$ with a hard wall along $η = \partial D$ , \[Z_{n}(D) =\frac 1{n!}\int_{D^n…