Abstract
We prove a relation between the radius and volume of a two-dimensional percolation cluster. This implies for 2D percolation that the critical exponents δ and η satisfy η = 4/(δ + 1) (provided η exists).
Research supported by the NSF through a grant to Cornell University.
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© 1987 Springer-Verlag New York, Inc.
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Kesten, H. (1987). A Scaling relation at criticality for 2D-Percolation. In: Kesten, H. (eds) Percolation Theory and Ergodic Theory of Infinite Particle Systems. The IMA Volumes in Mathematics and Its Applications, vol 8. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8734-3_12
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DOI: https://doi.org/10.1007/978-1-4613-8734-3_12
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