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On the stability of the equilibrium position in critical and near-critical cases

✍ Scribed by L.G. Khazin; E.E. Shnol'

Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
665 KB
Volume
45
Category
Article
ISSN
0021-8928

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Consider independent bond percolation with retention probability p on a Ε½ . spherically symmetric tree ⌫. Write p for the probability that the root is in an infinite ⌫ Γ„ Ε½ . 4 Ε½ . open cluster, and define the critical value p s inf p : p ) 0 . If p s 0, then the c ⌫ ⌫ c root may still percolate in t