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• W2000130054 abstract "The authors study the connectivity dimension d of fractal lattices viewed as networks (graphs) of sites and (constant length) bond. Two examples are investigated in detail: the 2D Sierpinski gasket and 2D infinite percolation clusters on square and triangular lattices. In the first case d is shown to coincide with the fractal dimension, whereas d=1.72+or-0.02 appears as a universal exponent for percolation clusters in two dimensions. Considered as an intrinsic parameter, the connectivity dimension d is compared with other intrinsic and extrinsic characteristic parameters of fractal lattices. In particular the authors argue that d<or=d<or=d holds on fractal lattices in general (d=fractal dimension, d=spectral dimension)." @default.
• W2000130054 created "2016-06-24" @default.
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• W2000130054 date "1984-06-21" @default.
• W2000130054 modified "2023-09-25" @default.
• W2000130054 title "Metric properties of fractal lattices" @default.
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• W2000130054 doi "https://doi.org/10.1088/0305-4470/17/9/007" @default.
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