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arXiv · 2511.22156

A non-canonical diffusion on the Sierpi\'nski carpet

Shiping Cao·Hua Qiu·Bingshen Wang
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Abstract

We constructed a diffusion process on the Sierpi\'nski carpet that satisfies the sub-Gaussian heat kernel estimate with respect to the Euclidean metric and a non-standard self-similar measure.

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Shiping Cao, Hua Qiu, Bingshen Wang. 2025-11-27. A non-canonical diffusion on the Sierpi\'nski carpet. https://arxiv.org/abs/2511.22156

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