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Publication - Dr Ivor McGillivray

    Resistance in higher-dimensional Sierpiński carpets


    McGillivray, I, 2002, ‘Resistance in higher-dimensional Sierpiński carpets’. Potential Analysis, vol 16., pp. 289-303


    We study the effective resistance between disjoint compact sets relative to the n-th level approximation Fn to the generalized Sierpiński carpet in d dimensions. This yields a simple criterion for determining recurrence of simple random walk on the associated pre-fractal graph in terms of the resistance scaling factor.

    Full details in the University publications repository