4 papers
Estimation of Riemannian Quantities from Noisy Data via Density Derivatives
Junhao Chen, Ruowei Li, Zhigang Yao
We study the recovery of geometric structure from data generated by convolving the uniform measure on a smooth compact submanifold with ambient Gaussian nois…
The convergence and uniqueness of a discrete-time nonlinear Markov chain
Ruowei Li, Florentin Münch
In this paper, we prove the convergence and uniqueness of a general discrete-time nonlinear Markov chain with specific conditions. The results have important applications in discre…
Discrete Caffarelli-Kohn-Nirenberg inequalities and ground state solutions to nonlinear elliptic equations
Fengwen Han, Ruowei Li
In this paper, we prove the discrete Caffarelli-Kohn-Nirenberg inequalities on the lattice () in a broader range of parameters than the classical continuo…
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…