Determination of the Walk Dimension of the Sierpi\'nski Gasket Without Using Diffusion
Probability
2018-10-17 v3
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.
Keywords
Cite
@article{arxiv.1610.08920,
title = {Determination of the Walk Dimension of the Sierpi\'nski Gasket Without Using Diffusion},
author = {Alexander Grigor'yan and Meng Yang},
journal= {arXiv preprint arXiv:1610.08920},
year = {2018}
}
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26 pages