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