374 citations · 2.2k across the 47 of their papers we have counts for
5 papers · 2 filters
Finitary Coloring
Alexander E. Holroyd, Oded Schramm, David B. Wilson
Suppose that the vertices of are assigned random colors via a finitary factor of independent identically distributed (iid) vertex-labels. That is, the color of vert…
Pfaffian formulas for spanning tree probabilities
Greta Panova, David B. Wilson
We show that certain topologically defined uniform spanning tree probabilities for graphs embedded in an annulus can be computed as linear combinations of Pfaffians of matrices inv…
The looping rate and sandpile density of planar graphs
Adrien Kassel, David B. Wilson
We give a simple formula for the looping rate of loop-erased random walk on a finite planar graph. The looping rate is closely related to the expected amount of sand in a recurrent…
The conformal loop ensemble nesting field
Jason Miller, Samuel S. Watson, David B. Wilson
The conformal loop ensemble CLE with parameter is the canonical conformally invariant measure on countably infinite collections of non-crossing loops in a simply c…
Extreme nesting in the conformal loop ensemble
Jason Miller, Samuel S. Watson, David B. Wilson
The conformal loop ensemble with parameter is the canonical conformally invariant measure on countably infinite collections of noncrossing loops i…