activity
20172019
most citedConvergence of radial loop-erased random walk in the natural parametrization

18 citations · 18 across the 2 of their papers we have counts for

collaborators

6 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-ph2018

Asymptotic analysis of Dotsenko-Fateev integrals

Jonatan Lenells, Fredrik Viklund

We develop a method for evaluating asymptotics of certain contour integrals that appear in Conformal Field Theory under the name of Dotsenko-Fateev integrals and which are natural…

math.PR2018

Transition probabilities for infinite two-sided loop-erased random walks

Christian Beneš, Gregory F. Lawler, Fredrik Viklund

The infinite two-sided loop-erased random walk (LERW) is a measure on infinite self-avoiding walks that can be viewed as giving the law of the `middle part' of an infinite LERW loo…

math.PR2018

One-dimensional scaling limits in a planar Laplacian random growth model

Alan Sola, Amanda Turner, Fredrik Viklund

We consider a family of growth models defined using conformal maps in which the local growth rate is determined by , where is the aggregate map for particles…

math.PR201718 cited

Convergence of radial loop-erased random walk in the natural parametrization

Gregory F. Lawler, Fredrik Viklund

In recent work we have shown that loop-erased random walk (LERW) connecting two boundary points of a domain converges to the chordal Schramm-Loewner evolution (SLE(2)) in the sense…