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arXiv · 2601.10750

Self-similar Dirichlet form on pillow-type carpets--a short analytic construction

Shiping Cao·Hua Qiu·Yizhou Wang
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Abstract

We give a short, self-contained analytic proof of the existence of self-similar Dirichlet forms on pillow-type carpets, a family of infinitely ramified fractals that includes the Sierpi\'nski carpet.

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Shiping Cao, Hua Qiu, Yizhou Wang. 2026-01-13. Self-similar Dirichlet form on pillow-type carpets--a short analytic construction. https://arxiv.org/abs/2601.10750

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