A non-canonical diffusion on the Sierpi\'nski carpet
Probability
2025-12-01 v1 Functional Analysis
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.
Keywords
Cite
@article{arxiv.2511.22156,
title = {A non-canonical diffusion on the Sierpi\'nski carpet},
author = {Shiping Cao and Hua Qiu and Bingshen Wang},
journal= {arXiv preprint arXiv:2511.22156},
year = {2025}
}
Comments
29 pages, 4 figures