18 citations · 18 across the 2 of their papers we have counts for
4 papers · 1 filter
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…
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…
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…
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…