Shiping Cao

activity

20162026

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

4 citations · 9 across the 17 of their papers we have counts for

collaborators

Showing 2021 · math.FAShow all

3 papers · 2 filters

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…

math.FA2021

A Sierpinski carpet like fractal without standard self-similar energy

Shiping Cao, Hua Qiu

We construct a Sierpinski carpet like fractal, on which a self-similar diffusion with sub-Gaussian heat kernel estimate does not exist, in contrast to previous researches on the ex…

math.FA2021

Dirichlet forms on unconstrained Sierpinski carpets

Shiping Cao, Hua Qiu

We construct symmetric self-similar Dirichlet forms on unconstrained Sierpinski carpets, which are natural extension of planar Sierpinski carpets by allowing the small cells to liv…

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

A Sierpinski carpet like fractal without standard self-similar energy

Dirichlet forms on unconstrained Sierpinski carpets

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