374 citations · 2.2k across the 47 of their papers we have counts for
8 papers · 1 filter
The six-vertex model and Schramm-Loewner evolution
Richard Kenyon, Jason Miller, Scott Sheffield +1
Square ice is a statistical mechanics model for two-dimensional ice, widely believed to have a conformally invariant scaling limit. We associate a Peano (space filling) curve to a…
Active spanning trees and Schramm-Loewner evolution
Adrien Kassel, David B. Wilson
We consider the Peano curve separating a spanning tree from its dual spanning tree on an embedded planar graph, where the tree and dual tree are weighted by to the number of ac…
XOR-Ising Loops and the Gaussian Free Field
David B. Wilson
We find by simulation that the interfaces in the exclusive-or (XOR) of two independent 2D Ising spin configurations at the critical temperature form an ensemble of loops that have…
The dimension of loop-erased random walk in 3D
David B. Wilson
We measure the fractal dimension of loop-erased random walk (LERW) in 3 dimensions, and estimate that it is 1.62400 +- 0.00005. LERW is closely related to the uniform spanning tree…
Winding angle variance of Fortuin-Kasteleyn contours
Benjamin Wieland, David B. Wilson
The variance in the winding number of various random fractal curves, including the self-avoiding walk, the loop-erased random walk, contours of FK clusters, and stochastic Loewner…
Driving sandpiles to criticality and beyond
Anne Fey, Lionel Levine, David B. Wilson
A popular theory of self-organized criticality relates driven dissipative systems to systems with conservation. This theory predicts that the stationary density of the abelian sand…