Explicit Spectral Decimation for a Class of Self-Similar Fractals

Joint Authors

Hernández, Sergio A.
Menéndez-Conde, Federico

Source

Abstract and Applied Analysis

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-02-12

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Hernández, Sergio A.& Menéndez-Conde, Federico. 2013. Explicit Spectral Decimation for a Class of Self-Similar Fractals. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-496213

Modern Language Association (MLA)

Hernández, Sergio A.& Menéndez-Conde, Federico. Explicit Spectral Decimation for a Class of Self-Similar Fractals. Abstract and Applied Analysis No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-496213

American Medical Association (AMA)

Hernández, Sergio A.& Menéndez-Conde, Federico. Explicit Spectral Decimation for a Class of Self-Similar Fractals. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-496213

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-496213