Shiping Cao

Available identifiers

zbMath Open cao.shipingMaRDI QIDQ1675135

List of research outcomes

Publication	Date of Publication	Type
Scaling limits of loop-erased Markov chains on resistance spaces via a partial loop-erasing procedure	2024-02-01	Paper
Convergence of energy forms on Sierpinski gaskets with added rotated triangle	2024-01-09	Paper
Dirichlet forms on unconstrained Sierpinski carpets in $\mathbb{R}^3$	2023-05-16	Paper
A Sierpinski carpet like fractal without standard self-similar energy	2023-01-10	Paper
Spectral decimation for a graph-directed fractal pair	2022-11-29	Paper
\(p\)-energies on p.c.f. self-similar sets	2022-07-15	Paper
Self-similar Dirichlet forms on polygon carpets	2022-05-26	Paper
Sobolev spaces on p.c.f. self-similar sets. II: Boundary behavior and interpolation theorems	2022-05-10	Paper
EIGENVALUES OF LAPLACIANS ON HIGHER DIMENSIONAL VICSEK SET GRAPHS	2022-03-15	Paper
Sobolev spaces on p.c.f. self-similar sets I: critical orders and atomic decompositions	2022-01-14	Paper
$p$-energies on p.c.f. self-similar sets	2021-12-20	Paper
Existence and uniqueness of diffusions on the Julia sets of Misiurewicz-Sierpinski maps	2021-08-23	Paper
Spectral analysis beyond \(\ell^2\) on Sierpinski lattices	2021-08-17	Paper
The Non-Degeneracy of Harmonic Structures on Planar Sierpinski Gaskets	2021-07-01	Paper
Resistance forms on self-similar sets with finite ramification of finite type	2021-03-29	Paper
Higher order Laplacians on p.c.f. fractals with three boundary points and dihedral symmetry	2021-03-03	Paper
Brownian motion on the golden ratio Sierpinski gasket	2020-10-11	Paper
A trace theorem for Sobolev spaces on the Sierpinski gasket	2020-06-02	Paper
Equivalence of Besov spaces on p.c.f. self-similar sets	2020-03-07	Paper
The Mathieu differential equation and generalizations to infinite fractafolds	2020-02-28	Paper
Boundary value problems for harmonic functions on domains in Sierpinski gaskets	2020-01-10	Paper
Sobolev spaces and trace theorem on the Sierpinski gasket	2019-03-16	Paper
Dirichlet forms on self-similar sets with overlaps	2018-06-24	Paper
Some properties of the derivatives on Sierpinski gasket type fractals	2017-10-26	Paper
A topological proof of the non-degeneracy of harmonic structures on Sierpinski Gaskets	2017-03-03	Paper
Higher order tangents and Higher order Laplacians on Sierpinski Gasket Type Fractals	2016-07-26	Paper

Research outcomes over time

Doctoral students

No records found.

Known relations from the MaRDI Knowledge Graph

Property	Value
MaRDI profile type	MaRDI person profile
instance of	human

This page was built for person: Shiping Cao