Determination of the Walk Dimension of the Sierpi\'nski Gasket Without   Using Diffusion
  We determine the walk dimension of the Sierpi\'nski gasket without using diffusion. We construct non-local regular Dirichlet forms on the Sierpi\'nski gasket from regular Dirichlet forms on the Sierpi\'nski graph whose suitable boundary is the Sierpi\'nski gasket. 
Alexander Grigor'yan, Meng Yang
math.PR