4 papers · 1 filter
On the Loewner energy of a welding homeomorphism
Shuo Fan, Fredrik Viklund, Yilin Wang
To any Jordan curve one may associate a circle homeomorphism via conformal welding. Through this correspondence, the Loewner energy , also kno…
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 in the complex plane, at inverse temperature . Let \[\bar{Z}_{n}^β(γ) = Z_{n}^β(γ)/\left(2 \tex…
Competitive Hele-Shaw flow and quadratic differentials
Fredrik Viklund, David Witt Nyström
We introduce and investigate a generalization of the Hele-Shaw flow with injection where several droplets compete for space as they try to expand due to internal pressure while sti…
Coulomb gas and the Grunsky operator on a Jordan domain with corners
Kurt Johansson, Fredrik Viklund
Let be a Jordan domain of unit capacity. We study the partition function of a planar Coulomb gas in with a hard wall along , \[Z_{n}(D) =\frac 1{n!}\int_{D^n…