4 papers · 1 filter
Corner percolation on and the square root of 17
Gábor Pete
We consider a four-vertex model introduced by Bálint Tóth: a dependent bond percolation model on in which every edge is present with probability 1/2 and each vertex…
Critical percolation on certain non-unimodular graphs
Yuval Peres, Gabor Pete, Ariel Scolnicov
An important conjecture in percolation theory is that almost surely no infinite cluster exists in critical percolation on any transitive graph for which the critical probability is…
Bootstrap percolation on infinite trees and non-amenable groups
Jozsef Balogh, Yuval Peres, Gabor Pete
Bootstrap percolation on an arbitrary graph has a random initial configuration, where each vertex is occupied with probability p, independently of each other, and a deterministic s…
Anchored expansion, percolation and speed
Dayue Chen, Yuval Peres, Gabor Pete
Benjamini, Lyons and Schramm [Random Walks and Discrete Potential Theory (1999) 56-84] considered properties of an infinite graph G, and the simple random walk on it, that are pres…