Percolation of finite clusters and infinite surfaces
2014 ◽
Vol 156
(2)
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pp. 263-279
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Keyword(s):
AbstractTwo related issues are explored for bond percolation on ${\mathbb{Z}^d$ (with d ≥ 3) and its dual plaquette process. Firstly, for what values of the parameter p does the complement of the infinite open cluster possess an infinite component? The corresponding critical point pfin satisfies pfin ≥ pc, and strict inequality is proved when either d is sufficiently large, or d ≥ 7 and the model is sufficiently spread out. It is not known whether d ≥ 3 suffices. Secondly, for what p does there exist an infinite dual surface of plaquettes? The associated critical point psurf satisfies psurf ≥ pfin.
1970 ◽
Vol 28
◽
pp. 278-279
1977 ◽
Vol 35
◽
pp. 590-591
Keyword(s):
1973 ◽
Vol 31
◽
pp. 472-473
1973 ◽
Vol 31
◽
pp. 448-449
Macromolecular structures of biological specimens are not obscured by controlled osmium impregnation
1983 ◽
Vol 41
◽
pp. 606-607
Keyword(s):
20 Nm
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