Abstract

The distribution of conductance jumps ΔG in a Sierpinski gasket (SG) has been calculated. Using an exact renormalization scheme, the conductance jumps are obtained up to the ninth generation. It is found that the distribution of ΔG is multifractal. A comparison is also made between the SG spectrum and that of the percolation backbone of a random resistor network at the percolation threshold. Excellent agreement between the two spectra is found.

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