Spectral dimension of Sierpinski gasket type fractals
- 7 May 1988
- journal article
- editorial
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 21 (9) , 2261-2263
- https://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).Keywords
This publication has 2 references indexed in Scilit:
- Asymptotic form of the spectral dimension at the fractal to lattice crossoverJournal of Physics A: General Physics, 1988
- Asymptotic form of the spectral dimension of the Sierpinski gasket type of fractalsJournal of Physics A: General Physics, 1987