18 citations · 94 across the 20 of their papers we have counts for
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math.PR2019
Dimension of two-valued sets via imaginary chaos
Lukas Schoug, Avelio Sepúlveda, Fredrik Viklund
Two-valued sets are local sets of the two-dimensional Gaussian free field (GFF) that can be thought of as representing all points of the domain that may be connected to the boundar…
math.CV2019
Remarks on the regularity of quasislits
Lukas Schoug, Atul Shekhar, Fredrik Viklund
A quasislit is the image of a vertical line segment [0, iy], y > 0, under a quasiconformal homeomorphism of the upper half-plane fixing infinity. Quasislits correspond precisely to…
math.CV2019★ 15 cited
Interplay between Loewner and Dirichlet energies via conformal welding and flow-lines
Fredrik Viklund, Yilin Wang
The Loewner energy of a Jordan curve is the Dirichlet energy of its Loewner driving term. It is finite if and only if the curve is a Weil-Petersson quasicircle. In this paper, we d…