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- W2071033071 abstract "The authors study the spectral dimension of the Sierpinski gasket family of fractals. Each member of the family is labelled by an integer b(2<or=b< infinity ), so that when b to infinity both the fractal and spectral dimension approach the Euclidean value 2. The asymptotic law for the spectral dimension was recently suggested to be dS approximately=2-B/(1nb)beta , with B and beta being some constants. Here the authors demonstrate that this form should be replaced by the asymptotic law ds approximately=2-1n(1nb)+ constant/1nb. Their analysis is based on the exact calculation of the electric resistances Rb for all members of the family up to b=650." @default.
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- W2071033071 date "1988-03-21" @default.
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- W2071033071 title "Asymptotic form of the spectral dimension at the fractal to lattice crossover" @default.
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- W2071033071 doi "https://doi.org/10.1088/0305-4470/21/6/024" @default.
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