Dirichlet forms on the Sierpiński gasket
The authors study not necessarily self-similar Dirichlet forms on the Sierpinski gasket that can be described as limits of compatible residence networks on the sequence of graphs approximating the gasket. Also an alternative description is presented, based on just 3 conductance values and the 3-dimensional space of harmonic functions. Finally, it is shown how to parametrize all the Dirichlet forms by a set of independent variables.
scientific article; zbMATH DE number 2164612