1 citations · 1 across the 4 of their papers we have counts for
7 papers
Curvature integral on convex hypersurfaces
Qixuan Hu, Shuai Zhang
Let , , be the smooth, connected, complete, noncompact boundary of a closed convex set with nonempty interior in . We prove that its normalized scalar…
Scalar curvature growth on nonnegatively curved three-manifolds
Qixuan Hu
Let be a complete, connected, noncompact Riemannian three-manifold without boundary and with nonnegative sectional curvature. We prove that its scalar-curvature integral…
A quadratic comparison of Neumann eigenvalues on thin convex domains in arbitrary dimenstion
Qixuan Hu
Let be a bounded convex domain that is thin around a chosen diameter segment. We compare its Neumann spectrum with the spectrum of that segment weighted by th…
Multiple eigenvalues and the width
Qixuan Hu
We obtain the simplicity of the first Neumann eigenvalue of convex thin domain with boundary in and compact thin manifolds with non-negative Ricci curvature. For convex thin…
Some aspects of Cheng-Yau gradient estimates
Qixuan Hu, Chengjie Yu
In this note, we extend the rigidity of Cheng-Yau gradient estimate in \cite{HXY} to surfaces with lower Ricci curvature bound. Motivated by these sharp Cheng-Yau gradient estimate…
A novel language model for predicting serious adverse event results in clinical trials from their prospective registrations
Qixuan Hu, Xumou Zhang, Jinman Kim +2
Objectives: With accurate estimates of expected safety results, clinical trials could be better designed and monitored. We evaluated methods for predicting serious adverse event (S…
The rigidity and stability of gradient estimates
Qixuan Hu, Guoyi Xu, Chengjie Yu
In this note, we obtain the rigidity of the sharp Cheng-Yau gradient estimate for positive harmonic functions on surfaces with nonegative Gaussian curvature, the rigidity of the sh…