2 papers
math.FA2017
Local and Non-Local Dirichlet Forms on the Sierpiński Carpet
Alexander Grigor'yan, Meng Yang
We give a purely analytic construction of a self-similar local regular Dirichlet form on the Sierpiński carpet using approximation of stable-like non-local closed forms which gives…
math.PR2016
Determination of the Walk Dimension of the Sierpiński Gasket Without Using Diffusion
Alexander Grigor'yan, Meng Yang
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 for…