Renormalisation on symmetric fractals
- 1 October 1984
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 17 (14) , L783-L789
- https://doi.org/10.1088/0305-4470/17/14/011
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.Keywords
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