3 papers
math.ST2026
Curvature-driven manifold fitting under unbounded isotropic noise
Ruowei Li, Zhigang Yao
Manifold fitting aims to reconstruct a low-dimensional manifold from high-dimensional data, whose framework is established by Fefferman et al. \cite{fefferman2020reconstruction,fef…
math.SP2024
Eigenvalue estimates for the poly-Laplace operator on lattice subgraphs
Bobo Hua, Ruowei Li
We introduce the discrete poly-Laplace operator on a subgraph with Dirichlet boundary condition. We obtain upper and lower bounds for the sum of the first Dirichlet eigenvalues…
math.AP2022
The existence of positive ground state solutions for the Choquard type equation on groups of polynomial growth
Ruowei Li
In this paper, let be a Cayley graph of a discrete group of polynomial growth with homogeneous dimension . We study the Choquard type equation on : \begin{equation}…