Scaling relations for 2D-percolation
- Cite this article as:
- Kesten, H. Commun.Math. Phys. (1987) 109: 109. doi:10.1007/BF01205674
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We prove that the relations 2D-percolation hold for the usual critical exponents for 2D-percolation, provided the exponents δ andv exist. Even without the last assumption various relations (inequalities) are obtained for the singular behavior near the critical point of the correlation length, the percolation probability, and the average cluster size. We show that in our models the above critical exponents have the same value for approach ofp to the critical probability from above and from below.