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math.FA2016★ 6 cited
Equivalent Semi-Norms of Non-Local Dirichlet Forms on the Sierpiński Gasket and Applications
Meng Yang
We construct equivalent semi-norms of non-local Dirichlet forms on the Sierpiński gasket and apply these semi-norms to a convergence problem and a trace problem. We also construct…
math.PR2016★ 6 cited
Determination of the Walk Dimension of the Sierpiński Gasket Without Using Diffusion
Alexander Grigor'yan, Meng Yang
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 for…