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Exceptional planes of percolation
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  • Published: August 1998

Exceptional planes of percolation

  • Itai Benjamini1 &
  • Oded Schramm1 

Probability Theory and Related Fields volume 111, pages 551–564 (1998)Cite this article

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  • 25 Citations

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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.

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Authors and Affiliations

  1. The Weizmann Institute, Rehovot 76100, Israel e-mail: [itai;schramm]@wisdom.weizmann.ac.il, , , , , , IL

    Itai Benjamini & Oded Schramm

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  1. Itai Benjamini
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  2. Oded Schramm
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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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  • Issue Date: August 1998

  • DOI: https://doi.org/10.1007/s004400050177

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  • Mathematics Subject Classification (1991): 82B43
  • 82C43
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