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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…