Date of Completion

Spring 5-16-2014

Thesis Advisor(s)

Alexander Teplyaev

Honors Major

Mathematics

Abstract

The Laplacian operator is a central object of fractal analysis. It has been shown that the Laplacian on a 3N-Gasket can be found using the method of spectral decimation. The 3N-Gasket is a family of fractals closely related to the construction of the Sierpinski Gasket, also known as the 3-Gasket. For the purpose of this paper we will explore the method of spectral decimation in finding the Laplacian on several different cases of 3N-Gaskets.

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