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- W3904106 abstract "Let G be a graph satisfying (2.l)–(2.5) with vertex set l and edge set e. The most classical percolation model is the one in which all bonds of q are randomly assigned to one of two classes, all bonds being assigned independently of each other. This is called bond-percolation, and the two kinds of bonds are called the passable or open bonds and the blocked or closed bonds. Instead of partitioning the bonds one often partitions the sites into two classes. Again all sites are assigned to one class or the other independently of each other. One now speaks of site-percolation and uses occupied and vacant sites to denote the two kinds of sites. The crucial requirement in both models is the independence of the bonds or sites, respectively. This makes the states of the bonds or sites into a family of independent two-valued random variables. Accordingly the above models are called Bernoulli-percolation models." @default.
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- W3904106 date "1982-01-01" @default.
- W3904106 modified "2023-09-26" @default.
- W3904106 title "Periodic Percolation Problems" @default.
- W3904106 doi "https://doi.org/10.1007/978-1-4899-2730-9_3" @default.
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