Percolation, Perimetry, Planarity
Kozma, Gady
Rev. Mat. Iberoamericana, Tome 23 (2007) no. 1, p. 671-676 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
Let $G$ be a planar graph with polynomial growth and isoperimetric dimension bigger than $1$. Then the critical $p$ for Bernoulli percolation on $G$ satisfies $p_{c} < 1$.
Publié le : 2007-04-14
Classification:  percolation,  isoperimetric dimension,  planar graph,  duality,  46E15,  46E35,  46B99 
@article{1190831224,
     author = {Kozma, Gady},
     title = {Percolation, Perimetry, Planarity},
     journal = {Rev. Mat. Iberoamericana},
     volume = {23},
     number = {1},
     year = {2007},
     pages = { 671-676},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1190831224}
}

Kozma, Gady. Percolation, Perimetry, Planarity. Rev. Mat. Iberoamericana, Tome 23 (2007) no. 1, pp.  671-676. http://gdmltest.u-ga.fr/item/1190831224/