Spectral dimension of Sierpinski gasket type fractals

Dhar, D. (1988) Spectral dimension of Sierpinski gasket type fractals Journal of Physics A: Mathematical and General, 21 (9). pp. 2261-2263. ISSN 0305-4470

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Official URL: http://iopscience.iop.org/0305-4470/21/9/038

Related URL: http://dx.doi.org/10.1088/0305-4470/21/9/038

Abstract

An explicit formula for the spectral dimension of the Sierpinski type fractal family studied by Borjan et al (1987) is obtained using the method of images. For large values of their parameter b, the spectral dimension d(b)=2-(log log b)/log b+terms of order (1/log b).

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Deposited On:02 Nov 2010 12:16
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