3 citations · 3 across the 2 of their papers we have counts for
3 papers
math.FA2024
Uniqueness and convergence of resistance forms on unconstrained Sierpinski carpets
Shiping Cao, Hua Qiu
We prove the uniqueness of self-similar -symmetric resistance forms on unconstrained Sierpinski carpets ('s). Moreover, on a sequence of 's $K_n,…
math.FA2016
The Laplacian on the unit square in a self-similar manner
Hua Qiu, Haoran Tian
In this paper, we show how to construct the standard Laplacian on the unit square in a self-similar manner. We rewrite the familiar mean value property of planar harmonic functions…
math.CA2016★ 3 cited
Higher order tangents and Higher order Laplacians on Sierpinski Gasket Type Fractals
Shiping Cao, Hua Qiu
We study higher order tangents and higher order Laplacians on p.c.f. self-similar sets with fully symmetric structures, such as or symmetric fractals. Firstly, let be…