123 citations · 404 across the 40 of their papers we have counts for
Showing 2015Show all
3 papers · 1 filter
math.PR2015★ 16 cited
Indistinguishability of Trees in Uniform Spanning Forests
Tom Hutchcroft, Asaf Nachmias
We prove that in both the free and the wired uniform spanning forest (FUSF and WUSF) of any unimodular random rooted network (in particular, of any Cayley graph), it is impossible…
math.PR2015★ 1 cited
Recurrence of multiply-ended planar triangulations
Ori Gurel-Gurevich, Asaf Nachmias, Juan Souto
In this note we show that a bounded degree planar triangulation is recurrent if and only if the set of accumulation points of some/any circle packing of it is polar (that is, plana…
math.PR2015★ 29 cited
Unimodular Hyperbolic Triangulations: Circle Packing and Random Walk
Omer Angel, Tom Hutchcroft, Asaf Nachmias +1
We show that the circle packing type of a unimodular random plane triangulation is parabolic if and only if the expected degree of the root is six, if and only if the triangulation…