Constructing a Laplacian on the Diamond Fractal
Constructing a Laplacian on the Diamond Fractal
Abstract Kigami has shown how to construct Laplacians on certain selfsimilar fractals, first for the Sierpiriski gasket and then for the class of postcritically finite (pcf) fractals, subject to the solution of certain algebraic equations. It is desirable to extend this method to as large a class of fractals as …