A short proof of the Harris-Kesten Theorem
We give a short proof of the fundamental result that the critical probability for bond percolation in the planar square lattice is equal to 1/2. The lower bound was proved by Harris, who showed in 1960 that percolation does not occur at $p=1/2$. The other, more difficult, bound was proved by Kesten,...
Main Authors: | Bollobas, B, Riordan, O |
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Format: | Journal article |
Language: | English |
Published: |
2004
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