2 papers
math.DG2026
Sharp Spectral Gap Estimates on Manifolds under Integral Ricci Curvature Bounds
Xavier Ramos Olivé, Shoo Seto, Malik Tuerkoen
We prove sharp spectral gap estimates on compact manifolds with integral curvature bounds. We generalize the results of Kröger (Kröger '92) as well as of Bakry and Qian (Bakry-Qi…
math.NA2024
On the Identifiablility of Nonlocal Interaction Kernels in First-Order Systems of Interacting Particles on Riemannian Manifolds
Sui Tang, Malik Tuerkoen, Hanming Zhou
In this paper, we tackle a critical issue in nonparametric inference for systems of interacting particles on Riemannian manifolds: the identifiability of the interaction functions.…