7 citations · 11 across the 10 of their papers we have counts for
10 papers
Supercritical sharpness of percolation
Sahar Diskin, Philip Easo, Ritvik Ramanan Radhakrishnan +2
We prove that for supercritical percolation on every infinite transitive graph, the probability that the origin belongs to a finite cluster of size at least decays exponentiall…
Counting minimal cutsets and
Philip Easo, Franco Severo, Vincent Tassion
We prove two results concerning percolation on general graphs. - We establish the converse of the classical Peierls argument: if the critical parameter for (uniform) percolation sa…
Sharpness and locality for percolation on finite transitive graphs
Philip Easo
Let be a sequence of finite connected vertex-transitive graphs with uniformly bounded vertex degrees such that as $n…
The critical percolation probability is local
Philip Easo, Tom Hutchcroft
We prove Schramm's locality conjecture for Bernoulli bond percolation on transitive graphs: If is a sequence of infinite vertex-transitive graphs converging local…
Uniform finite presentation for groups of polynomial growth
Philip Easo, Tom Hutchcroft
We prove a quantitative refinement of the statement that groups of polynomial growth are finitely presented. Let be a group with finite generating set and let $\operatornam…
Double-exponential susceptibility growth in Dyson's hierarchical model with interaction
Philip Easo, Tom Hutchcroft, Jana Kurrek
We study long-range percolation on the -dimensional hierarchical lattice, in which each possible edge is included independently at random with inclusion probability $1…
Existence of a percolation threshold on finite transitive graphs
Philip Easo
Let be a sequence of finite connected vertex-transitive graphs with volume tending to infinity. We say that a sequence of parameters is a percolation threshold if f…
Supercritical percolation on finite transitive graphs I: Uniqueness of the giant component
Philip Easo, Tom Hutchcroft
Let be a sequence of finite, connected, vertex-transitive graphs with volume tending to infinity. We say that a sequence of parameters $…
The wired arboreal gas on regular trees
Philip Easo
We study the weak limit of the arboreal gas along any exhaustion of a regular tree with wired boundary conditions. We prove that this limit exists, does not depend on the choice of…
The Cuntz-Toeplitz algebras have nuclear dimension one
Philip Easo, Esperanza Garijo, Sarunas Kaubrys +12
We prove that unital extensions of Kirchberg algebras by separable stable AF algebras have nuclear dimension one. The title follows.