3 papers
math.PR2026
Homogenization of anisotropic diffusion on pre-Sierpiński carpets
Shiping Cao, Zhen-Qing Chen, Hua Qiu
We investigate the restoration of isotropy for anisotropic diffusions on pre-Sierpiński carpets in the plane, a problem previously studied by Barlow, Hattori, Hattori and Watanabe…
math.PR2025
A non-canonical diffusion on the Sierpiński carpet
Shiping Cao, Hua Qiu, Bingshen Wang
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-simila…
math.FA2024
Uniqueness and convergence of resistance forms on unconstrained Sierpinski carpets
Shiping Cao, Hua Qiu
We prove the uniqueness of self-similar -symmetric resistance forms on unconstrained Sierpinski carpets ('s). Moreover, on a sequence of 's $K_n,…