Disordered Systems Fractals Lattice Models Renormalisation Stochastic Processes

Renormalisation on Sierpinski-type Fractals

R. Hilfer, A. Blumen

Journal of Physics A: Mathematical and General 17, L573-L545 (1984)

submitted on
Friday, April 13, 1984

We present a family of deterministic fractals which generalise the d-dimensional Sierpinski gaskets and we establish their order of ramification and their fractal and spectral dimensions. Random walks on these fractals are renormalisable and lead to rational, not necessarily polynomial, mappings.

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