2 papers
math.DS2026
Self-similar Dirichlet form on pillow-type carpets--a short analytic construction
Shiping Cao, Hua Qiu, Yizhou Wang
We give a short, self-contained analytic proof of the existence of self-similar Dirichlet forms on pillow-type carpets, a family of infinitely ramified fractals that includes the S…
math.PR2025
A non-canonical diffusion on the SierpiÅski carpet
Shiping Cao, Hua Qiu, Bingshen Wang
We constructed a diffusion process on the SierpiÅski carpet that satisfies the sub-Gaussian heat kernel estimate with respect to the Euclidean metric and a non-standard self-simil…