Abstract
We prove that the critical probability for site percolation on the three-dimensional cubic lattice satisfies the inequality $p^{(3)}_c < 1/2$. An application to the three-dimensional Ising model is given.
Citation
M. Campanino. L. Russo. "An Upper Bound on the Critical Percolation Probability for the Three- Dimensional Cubic Lattice." Ann. Probab. 13 (2) 478 - 491, May, 1985. https://doi.org/10.1214/aop/1176993004
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