paper

A non-canonical diffusion on the Sierpiński carpet

arXiv:2511.22156

Abstract

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.

29 pages, 4 figures

A non-canonical diffusion on the Sierpiński carpet · wovepaper