Weakly constrained-degree percolation on the hypercubic lattice

Ivailo Hartarsky and Bernardo N.B. de Lima

Stochastic Processes and their Applications, 2022, vol. 153, issue C, 128-144

Abstract: We consider the constrained-degree percolation model on the hypercubic lattice, Ld=(Zd,Ed) for d⩾3. It is a continuous time percolation model defined by a sequence, (Ue)e∈Ed, of i.i.d. uniform random variables in [0,1] and a positive integer (constraint) κ. Each bond e∈Ed tries to open at time Ue; it succeeds if and only if both its end-vertices belong to at most κ−1 open bonds at that time.

Keywords: Phase transition; Constrained-degree percolation; Mixed site-bond percolation (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1016/j.spa.2022.08.001

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