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A lower bound for the critical probability of the square lattice site percolation. (English) Zbl 0552.60098

We prove by elementary combinatorial considerations that the critical probability of the square lattice site percolation is larger than 0.503478.

MSC:

60K35 Interacting random processes; statistical mechanics type models; percolation theory
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References:

[1] Higuchi, Y., Coexistence of the infinite (^⋆) clusters: a remark on the square lattice site percolation, Z. Wahrscheinlichkeitstheorie verw. Gebiete, 61, 75-81 (1982) · Zbl 0478.60096
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