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• W2068372972 abstract "The probabilities of clusters spanning a hypercube of dimension two to seven along one axis of a percolation system under criticality were investigated numerically. We used a modified Hoshen-Kopelman algorithm combined with Grassberger’s “go with the winner” strategy for the site percolation. We carried out a finite-size analysis of the data and found that the probabilities confirm Aizenman’s proposal of the multiplicity exponent for dimensions three to five. A crossover to the mean-field behavior around the upper critical dimension is also discussed." @default.
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• W2068372972 date "2002-10-01" @default.
• W2068372972 modified "2023-10-10" @default.
• W2068372972 title "On the Aizenman exponent in critical percolation" @default.
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• W2068372972 doi "https://doi.org/10.1134/1.1528706" @default.
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