3 citations · 8 across the 5 of their papers we have counts for
5 papers
Small Ball Probabilities for Simple Random Tensors
Xuehan Hu, Grigoris Paouris
We study the small ball probability of an order- simple random tensor where are independent random vecto…
NNSC-Cobordism of Bartnik Data in High Dimensions
Xue Hu, Yuguang Shi
In this short note, we formulate three problems relating to nonnegative scalar curvature (NNSC) fill-ins. Loosely speaking, the first two problems focus on: When are -dimens…
Volume comparison of conformally compact manifolds with scalar curvature
Xue Hu, Dandan Ji, Yuguang Shi
In this paper, we use the normalized Ricci-DeTurk flow to prove a stability result for strictly stable conformally compact Einstein manifolds. As an application, we show a local vo…
Static flow on complete noncompact manifolds I: short-time existence and asymptotic expansions at conformal infinity
Xue Hu, Yuguang Shi
In this paper, we study short-time existence of static flow on complete noncompact asymptotically static manifolds from the point of view that the stationary points of the evolutio…
Regularity and rigidity of asymptotically hyperbolic manifolds
Xue Hu, Jie Qing, Yuguang Shi
In this paper, we study some intrinsic characterization of conformally compact manifolds. We show that, if a complete Riemannian manifold admits an essential set and its curvature…