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math.CV2026
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…
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…