8 citations · 18 across the 7 of their papers we have counts for
7 papers
Solution manifold and Its Statistical Applications
Yen-Chi Chen
A solution manifold is the collection of points in a -dimensional space satisfying a system of equations with . Solution manifolds occur in several statistical problems…
Random walks with local memory
Swee Hong Chan, Lila Greco, Lionel Levine +1
We prove a quenched invariance principle for a class of random walks in random environment on , where the walker alters its own environment. The environment consists…
Spectrum of the Laplacian on Quaternionic Kahler Manifolds
Shengli Kong, Peter Li, Detang Zhou
Let be a complete quaternionic Kähler manifold with scalar curvature bounded below by . We get a sharp estimate for the first eigenvalue of the Laplaci…
Connectedness at infinity of complete Kähler manifolds and locally symmetric spaces
Peter Li, Jiaping Wang
One of the main purposes of this paper is to prove that on a complete Kähler manifold of dimension , if the holomorphic bisectional curvature is bounded from below by -1 and the…
Weighted Poincaré inequality and rigidity of complete manifolds
Peter Li, Jiaping Wang
We prove structure theorems for complete manifolds satisfying both the Ricci curvature lower bound and the weighted Poincaré inequality. In the process, a sharp decay estimate for…
Differential geometry via harmonic functions
Peter Li
In this talk, I will discuss the use of harmonic functions to study the geometry and topology of complete manifolds. In my previous joint work with Luen-fai Tam, we discovered that…