Shiping Cao

activity

20162024

most citedHigher order tangents and Higher order Laplacians on Sierpinski Gasket Type Fractals

3 citations · 3 across the 6 of their papers we have counts for

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math.FA2024

Uniqueness and convergence of resistance forms on unconstrained Sierpinski carpets

Shiping Cao, Hua Qiu

We prove the uniqueness of self-similar $D_{4}$ -symmetric resistance forms on unconstrained Sierpinski carpets ( $U SC$ 's). Moreover, on a sequence of $U SC$ 's $K_n,…

math.FA2024

Whether $p$ -conductive homogeneity holds depends on $p$

Shiping Cao, Zhen-Qing Chen

We introduce two fractals, in Euclidean spaces of dimension two and three respectively, such the $2$ -conductive homogeneity holds but there is some $\eps \in (0, 1)$ so that the $p…

math.FA2021

$p$ -energies on p.c.f. self-similar sets

Shiping Cao, Qingsong Gu, Hua Qiu

We study $p$ -energies on post critically finite (p.c.f.) self-similar sets for $1 < p < \infty$ , as limits of discrete $p$ -energies on approximation graphs, extending the construction…

Uniqueness and convergence of resistance forms on unconstrained Sierpinski carpets

Whether p-conductive homogeneity holds depends on p

p-energies on p.c.f. self-similar sets

Whether $p$ -conductive homogeneity holds depends on $p$

$p$ -energies on p.c.f. self-similar sets