3 papers
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.PR2019
A multifractal boundary spectrum for SLE
Lukas Schoug
We study SLE curves, with and chosen so that the curves hit the boundary. More precisely, we study the sets on which the curves collide with the boundary at a prescr…