Open AccessPercolation, Perimetry, Planarity
Author(s) -
Gady Kozma
Publication year - 2007
Publication title -
revista matemática iberoamericana
Language(s) - Uncategorized
Resource type - Journals
SCImago Journal Rank - 1.569
H-Index - 52
eISSN - 2235-0616
pISSN - 0213-2230
DOI - 10.4171/rmi/508
Subject(s) - planarity testing , percolation (cognitive psychology) , mathematics , optometry , ophthalmology , combinatorics , psychology , medicine , neuroscience
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<1.
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