Shiping Cao

activity

20162026

most citedExistence and uniqueness of diffusions on the Julia sets of Misiurewicz-Sierpinski maps

4 citations · 20 across the 27 of their papers we have counts for

collaborators

Showing 2023 · math.FAShow all

2 papers · 2 filters

math.FA2023

On Kigami's conjecture of the embedding $W^{p} (K) \subset C (K)$

Shiping Cao, Zhen-Qing Chen, Takashi Kumagai

Let $(K, d)$ be a connected compact metric space and $p \in (1, \infty)$ . Under the assumption of \cite[Assumption 2.15]{Ki2} and the conductive $p$ -homogeneity, we show that $\mathc…

math.FA2023

Dirichlet forms on unconstrained Sierpinski carpets in $R^{3}$

Shiping Cao, Hua Qiu

We prove the existence of a strongly local, regular, self-similar Dirichlet form with a sub-Gaussian heat kernel estimate on an unconstrained Sierpinski carpet in $R^{3}$ . I…

On Kigami's conjecture of the embedding Wp(K)⊂C(K)

Dirichlet forms on unconstrained Sierpinski carpets in R3

On Kigami's conjecture of the embedding $W^{p} (K) \subset C (K)$

Dirichlet forms on unconstrained Sierpinski carpets in $R^{3}$