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2013 Explicit Spectral Decimation for a Class of Self-Similar Fractals
Sergio A. Hernández, Federico Menéndez-Conde
Abstr. Appl. Anal. 2013: 1-8 (2013). DOI: 10.1155/2013/756075


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 obtain formulas for the eigenvalues of the Laplace operator acting on these fractals.


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Sergio A. Hernández. Federico Menéndez-Conde. "Explicit Spectral Decimation for a Class of Self-Similar Fractals." Abstr. Appl. Anal. 2013 1 - 8, 2013.


Published: 2013
First available in Project Euclid: 18 April 2013

zbMATH: 1268.28017
MathSciNet: MR3034914
Digital Object Identifier: 10.1155/2013/756075

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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