JournalsjfgVol. 5, No. 4pp. 419–460

Determination of the walk dimension of the Sierpiński gasket without using diffusion

  • Alexander Grigor'yan

    Universität Bielefeld, Germany

  • Meng Yang

    Universität Bielefeld, Germany and Tsinghua University, Beijing, China
Determination of the walk dimension of the Sierpiński gasket without using diffusion cover
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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.

Cite this article

Alexander Grigor'yan, Meng Yang, Determination of the walk dimension of the Sierpiński gasket without using diffusion. J. Fractal Geom. 5 (2018), no. 4, pp. 419–460

DOI 10.4171/JFG/66