6 papers
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 kn…
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^…
Dyson Brownian motion on a Jordan curve
Vladislav Guskov, Mingchang Liu, Fredrik Viklund
Zabrodin recently proposed a generalization of Dyson Brownian motion to a setting where the particles are confined to a smooth Jordan curve in the plane. In this paper, we discuss…
Loewner--Kufarev entropy and large deviations of the Hastings--Levitov model
Nathanaël Berestycki, Vladislav Guskov, Fredrik Viklund
We consider the Hastings--Levitov HL(0) model in the small particle scaling limit and prove a large deviation principle. The rate function is given by the relative entropy of the d…
Current expansion and couplings for Ising lattice gauge theory
Malin P. Forsström, Fredrik Viklund
In this note, we discuss a random current expansion and a switching lemma for Ising lattice gauge theory at all choices of inverse temperature , leading to summation over surfa…
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(…