Existence of an intermediate phase for oriented percolation ∗

  • Hubert Lacoin
  • Published 2012


We consider the following oriented percolation model of N × Z: we equip N × Z with the edge set {[(n, x), (n + 1, y)]|n ∈ N, x, y ∈ Z}, and we say that each edge is open with probability pf(y − x) where f is a fixed non-negative compactly supported function on Z with ∑ z∈Zd f(z) = 1 and p ∈ [0, inf(1/f)] is the percolation parameter. Let pc denote the… (More)

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