Abstract
The inequality in the title is derived for standard site percolation in any dimension, assuming only that the percolation density vanishes at the critical point. The proof, based on a lattice animal expansion, is fairly simple and is applicable to rather general (site or bond, short-or long-range) independent percolation models.
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Newman, C.M. Another critical exponent inequality for percolation: β⩾2/δ. J Stat Phys 47, 695–699 (1987). https://doi.org/10.1007/BF01206153
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DOI: https://doi.org/10.1007/BF01206153