Date of Completion
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.
Margenot, Maxwell, "Exploring the Spectrum of the Laplacian on 3N-Gaskets" (2014). Honors Scholar Theses. 390.