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arxiv: 1610.08920 · v3 · pith:DJZUFTIRnew · submitted 2016-10-27 · 🧮 math.PR

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

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keywords nskisierpigasketdiffusiondimensiondirichletformsregular
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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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