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Amenability criteria and critical probabilities in percolation

✍ Scribed by Gournay, Antoine


Book ID
122245706
Publisher
Elsevier Science
Year
2015
Tongue
German
Weight
289 KB
Volume
33
Category
Article
ISSN
0723-0869

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In simulation studies in the physics literature, there is only one pair of graphs which have site and bond percolation critical probability estimates in the opposite order. We prove that this phenomenon does occur, by constructing an inΓΏnite collection of two-dimensional inΓΏnite graphs G(n) with the