Renormalisation on symmetric fractals

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, , Citation R Hilfer and A Blumen 1984 J. Phys. A: Math. Gen. 17 L783 DOI 10.1088/0305-4470/17/14/011

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1 Lehrstuhl fur Theoretische Chem., Tech. Univ. Munchen, Garching, West Germany

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0305-4470/17/14/L783

Abstract

The authors introduce and investigate new classes of Sierpinski-type fractals. They determine their fractal and spectral dimensions using renormalisation procedures and, for particular classes, they give these dimensions in closed form. The spectral dimensions densely fill the interval allowing them to flexibly choose models for applications.

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