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math.PR2026
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…
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.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 surfa…