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arXiv · 1706.03318

Local and Non-Local Dirichlet Forms on the Sierpi\'nski Carpet

Alexander Grigor'yan·Meng Yang
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Abstract

We give a purely analytic construction of a self-similar local regular Dirichlet form on the Sierpi\'nski carpet using approximation of stable-like non-local closed forms which gives an answer to an open problem in analysis on fractals.

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Alexander Grigor'yan, Meng Yang. 2017-06-11. Local and Non-Local Dirichlet Forms on the Sierpi\'nski Carpet. https://arxiv.org/abs/1706.03318

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