Explicit Spectral Decimation for a Class of Self--Similar Fractals
Analysis of PDEs
2018-08-27 v2
Abstract
The method of spectral decimation is applied to an infinite collection of self--similar fractals. The sets considered 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.
Keywords
Cite
@article{arxiv.1209.1649,
title = {Explicit Spectral Decimation for a Class of Self--Similar Fractals},
author = {Sergio A. Hernandez and Federico Menendez-Conde},
journal= {arXiv preprint arXiv:1209.1649},
year = {2018}
}