JournalsrmiVol. 23, No. 2pp. 671–676

Percolation, Perimetry, Planarity

  • Gady Kozma

    Weizmann Institute of Science, Rehovot, Israel
Percolation, Perimetry, Planarity cover


Let GG be a planar graph with polynomial growth and isoperimetric dimension bigger than 11. Then the critical pp for Bernoulli percolation on GG satisfies pc<1p_{c} < 1.

Cite this article

Gady Kozma, Percolation, Perimetry, Planarity. Rev. Mat. Iberoam. 23 (2007), no. 2, pp. 671–676

DOI 10.4171/RMI/508