25 citations · 25 across the 4 of their papers we have counts for
4 papers
A Percolating Hard Sphere Model
Codina Cotar, Alexander E. Holroyd, David Revelle
Given a homogeneous Poisson point process in R^d, Haggstrom and Meester asked whether it is possible to place spheres (of differing radii) centred at the points, in a translation-i…
Scaling limits of the uniform spanning tree and loop-erased random walk on finite graphs
Yuval Peres, David Revelle
Let x and y be chosen uniformly in a graph G. We find the limiting distribution of the length of a loop-erased random walk from x to y on a large class of graphs that include the d…
Mixing times for random walks on finite lamplighter groups
Yuval Peres, David Revelle
Given a finite graph G, a vertex of the lamplighter graph consists of a zero-one labeling of the vertices of G, and a marked vertex of G. For transitive graphs G, we show that, up…
Instability of set recurrence and Green's function on groups with the Liouville property
Itai Benjamini, David Revelle
Let and be probability measures on a group Γand let G_μand G_νdenote Green's function with respect to μand ν. The group Γis said to admit instability of Green's function if…