55 citations · 252 across the 32 of their papers we have counts for
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math.PR2002
Trees and matchings from point processes
Alexander E. Holroyd, Yuval Peres
A factor graph of a point process is a graph whose vertices are the points of the process, and which is constructed from the process in a deterministic isometry-invariant way. We p…
math.PR2002
The speed of biased random walk on percolation clusters
Noam Berger, Nina Gantert, Yuval Peres
We consider biased random walk on supercritical percolation clusters in . We show that the random walk is transient and that there are two speed regimes: If the bias is large…
math.PR2002★ 6 cited
Transience of percolation clusters on wedges
Omer Angel, Itai Benjamini, Noam Berger +1
We study random walks on supercritical percolation clusters on wedges in , and show that the infinite percolation cluster is (a.s.) transient whenever the wedge is transient.…