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math.PR2025
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…
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 in the complex plane, at inverse temperature . Let \[\bar{Z}_{n}^β(γ) = Z_{n}^β(γ)/\left(2 \tex…
math.PR2025
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 surfac…