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.
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Received: 1 April 1997 / Revised version: 20 January 1998
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Benjamini, I., Schramm, O. Exceptional planes of percolation. Probab Theory Relat Fields 111, 551–564 (1998). https://doi.org/10.1007/s004400050177
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DOI: https://doi.org/10.1007/s004400050177