For the constrained-degree percolation model with random vertex capacities on the square lattice, any infinite open cluster is almost surely unique, and two-point connectivity is uniformly positive when percolation occurs.
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A note on the random constrained-degree percolation model on $\mathbb{L}^2$
For the constrained-degree percolation model with random vertex capacities on the square lattice, any infinite open cluster is almost surely unique, and two-point connectivity is uniformly positive when percolation occurs.