Determination of the Walk Dimension of the Sierpi\'nski Gasket Without Using Diffusion
Abstract
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.
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