Explicit Spectral Decimation for a Class of Self-Similar Fractals

The method of spectral decimation is applied to an infinite collection of self-similar fractals. The sets considered are a generalization of the Sierpinski Gasket to higher dimensions; they belong to the class of nested fractals and are thus very symmetric. An explicit construction is given to obtai...

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Bibliographic Details
Main Authors: Sergio A. Hernández, Federico Menéndez-Conde
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/756075