Tóth, Bálint A lower bound for the critical probability of the square lattice site percolation. (English) Zbl 0552.60098 Z. Wahrscheinlichkeitstheor. Verw. Geb. 69, 19-22 (1985). We prove by elementary combinatorial considerations that the critical probability of the square lattice site percolation is larger than 0.503478. Cited in 1 ReviewCited in 11 Documents MSC: 60K35 Interacting random processes; statistical mechanics type models; percolation theory Keywords:critical probability; square lattice site percolation PDFBibTeX XMLCite \textit{B. Tóth}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 69, 19--22 (1985; Zbl 0552.60098) Full Text: DOI 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 [2] Kesten, H., Percolation for Mathematicians (1982), Boston-Basel-Stuttgart: Birkhäuser, Boston-Basel-Stuttgart · Zbl 0522.60097 [3] Russo, L., A note on percolation, Z. Wahrscheinlichkeitstheorie verw. Gebiete, 43, 39-48 (1978) · Zbl 0363.60120 [4] Russo, L., On the critical percolation probabilities, Z. Wahrscheinlichkeitstheorie verw. Gebiete, 56, 229-238 (1981) · Zbl 0457.60084 [5] Shante, V. K.S.; Kirkpatrick, S., An introduction to percolation theory, Advances in Phys., 20, 325-357 (1971) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.