18 citations · 94 across the 20 of their papers we have counts for
24 papers
The Brownian bubble tea
Gregory F. Lawler, Fredrik Viklund, Yilin Wang +1
We use Loewner-Kufarev evolution to decompose the Brownian loop soup into a Poisson point process on Brownian bubbles which we call the Brownian bubble tea driven by , where …
Free energy and quark potential in Ising lattice gauge theory via cluster expansion
Malin Palö Forsström, Fredrik Viklund
We revisit the cluster expansion for Ising lattice gauge theory on with Wilson action, at a fixed inverse temperature \( β\) in the low-temperature regi…
Wilson lines in the lattice Higgs model at strong coupling
Malin P. Forsström, Jonatan Lenells, Fredrik Viklund
We consider the 4D fixed length lattice Higgs model with Wilson action for the gauge field and structure group . We study Wilson line observables in the strong coupli…
Percolation for two-dimensional excursion clouds and the discrete Gaussian free field
Alexander Drewitz, Olof Elias, Alexis Prévost +2
We study percolative properties of excursion processes and the discrete Gaussian free field (dGFF) in the planar unit disk. We consider discrete excursion clouds, defined using ran…
Wilson loops in the abelian lattice Higgs model
Malin P. Forsström, Jonatan Lenells, Fredrik Viklund
We consider the lattice Higgs model on , with structure group given by for . We compute the expected value of the Wilson loop observable…
The Loewner-Kufarev Energy and Foliations by Weil-Petersson Quasicircles
Fredrik Viklund, Yilin Wang
We study foliations by chord-arc Jordan curves of the twice punctured Riemann sphere using the Loewner-Kufarev equation. We associate to such a fol…
Wilson loops in finite Abelian lattice gauge theories
Malin Palö Forsström, Jonatan Lenells, Fredrik Viklund
We consider lattice gauge theories on with Wilson action and structure group . We compute the expectation of Wilson loop observables to leading order i…
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…
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…
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…
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…
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…
Schramm's formula and the Green's function for multiple SLE
Jonatan Lenells, Fredrik Viklund
We construct martingale observables for systems of multiple SLE curves by applying screening techniques within the CFT framework recently developed by Kang and Makarov, extended to…
The Loewner difference equation and convergence of loop-erased random walk
Gregory F. Lawler, Fredrik Viklund
We revisit the convergence of loop-erased random walk, LERW, to SLE(2) when the curves are parametrized by capacity. We construct a coupling of the chordal version of LERW and chor…
Convergence of loop-erased random walk in the natural parametrization
Gregory F. Lawler, Fredrik Viklund
Loop-erased random walk, abbreviated LERW, is one of the most well-studied critical lattice models. It is the self-avoiding random walk one gets after erasing the loops from a simp…
A Dimension Spectrum for SLE Boundary Collisions
Tom Alberts, Ilia Binder, Fredrik Johansson Viklund
We consider chordal SLE(kappa) curves for kappa > 4, where the intersection of the curve with the boundary is a random fractal of almost sure Hausdorff dimension min {2-8/kappa,1}.…
Scaling limit of the loop-erased random walk Green's function
Christian Benes, Gregory F. Lawler, Fredrik Johansson Viklund
We consider loop-erased random walk (LERW) running between two boundary points of a square grid approximation of a planar simply connected domain. The LERW Green's function is the…
Conformal Field Theory at the Lattice Level: Discrete Complex Analysis and Virasoro Structure
Clément Hongler, Fredrik Johansson Viklund, Kalle Kytölä
Critical statistical mechanics and Conformal Field Theory (CFT) are conjecturally connected since the seminal work of Beliavin, Polyakov, and Zamolodchikov [BPZ84a]. Both exhibit e…
On the Continuity of SLE(κ) in κ
Fredrik Johansson Viklund, Steffen Rohde, Carto Wong
We prove that for almost every Brownian motion sample, the corresponding SLE(κ) curves parameterized by capacity exist and change continuously in the supremum norm when κvaries in…
Convergence rates for loop-erased random walk and other Loewner curves
Fredrik Johansson Viklund
We estimate convergence rates for curves generated by Loewner's differential equation under the basic assumption that a convergence rate for the driving terms is known. An importan…
Some remarks on SLE bubbles and Schramm's two-point observable
Dmitry Beliaev, Fredrik Johansson Viklund
Simmons and Cardy recently predicted a formula for the probability that the chordal SLE(8/3) path passes to the left of two points in the upper half-plane. In this paper we give a…
Almost sure multifractal spectrum for the tip of an SLE curve
Fredrik Johansson Viklund, Gregory F. Lawler
The tip multifractal spectrum of a two-dimensional curve is one way to describe the behavior of the uniformizing conformal map of the complement near the tip. We give the tip multi…