Exceptional planes of percolation |
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Authors: | Itai Benjamini Oded Schramm |
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Institution: | (1) The Weizmann Institute, Rehovot 76100, Israel e-mail: [itai;schramm]@wisdom.weizmann.ac.il, IL |
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Abstract: | Consider the standard continuous percolation in ℝ4, and choose the parameters so that the induced percolation on a fixed two dimensional linear subspace is critical. Although
two dimensional critical percolation dies, we show that there are exceptional two dimensional linear subspaces, in which percolation
occurs.
Received: 1 April 1997 / Revised version: 20 January 1998 |
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Keywords: | Mathematics Subject Classification (1991): 82B43 82C43 |
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