A non-canonical diffusion on the Sierpiński carpet

Fuente: arXiv
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Main Authors: Cao, Shiping, Qiu, Hua, Wang, Bingshen
Format: Preprint
Published: 2025
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author Cao, Shiping
Qiu, Hua
Wang, Bingshen
author_facet Cao, Shiping
Qiu, Hua
Wang, Bingshen
contents We constructed a diffusion process on the Sierpiński carpet that satisfies the sub-Gaussian heat kernel estimate with respect to the Euclidean metric and a non-standard self-similar measure.
format Preprint
id arxiv_https___arxiv_org_abs_2511_22156
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A non-canonical diffusion on the Sierpiński carpet
Cao, Shiping
Qiu, Hua
Wang, Bingshen
Probability
Functional Analysis
28A80, 31E05
We constructed a diffusion process on the Sierpiński carpet that satisfies the sub-Gaussian heat kernel estimate with respect to the Euclidean metric and a non-standard self-similar measure.
title A non-canonical diffusion on the Sierpiński carpet
topic Probability
Functional Analysis
28A80, 31E05
url https://arxiv.org/abs/2511.22156