Determination of the Walk Dimension of the Sierpiński Gasket Without Using Diffusion
arXiv:1610.08920 · doi:10.4171/JFG/66
Abstract
We determine the walk dimension of the Sierpiński gasket without using diffusion. We construct non-local regular Dirichlet forms on the Sierpiński gasket from regular Dirichlet forms on the Sierpiński graph whose suitable boundary is the Sierpiński gasket.
26 pages