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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…