11 citations · 64 across the 21 of their papers we have counts for
23 papers
Statistical behavior of systems with nested invariant cones
Xu Cheng, Yufeng Zhang, Dun Zhou
Nested invariant cones (NICs) encode hierarchical order and oscillation structures in many finite and infinite dimensional dynamical systems. We investigate how this hierarchy cons…
Eigenvalue Estimates for Schrödinger Operators on Ricci Shrinkers
Xu Cheng, Franciele Conrado, Neilha Pinheiro +1
Let be a complete Ricci shrinker satisfying and let denote its scalar curvature. For a confined function on , we obt…
Divergence Identity for the scalar curvature and Rigidity of Codazzi Tensors
Xu Cheng, Andrés Lipa, Detang Zhou
We introduce a local vector field on an -dimensional Riemannian manifold, defined as the sum of the covariant derivatives of a local orthonormal frame, and derive an explicit id…
Structural stability for the bidirectional cyclic negative feedback systems
Xu Cheng, Yi Wang, Dun Zhou
We establish the generic Kupka--Smale property for bidirectional cyclic negative feedback systems on open convex domains in the compact-open topology. Under an inward-pointin…
A class of generalized Nesterov's accelerated gradient method from dynamical perspective
Xu Cheng, Jiaqi Liu, Zaijiu Shang
We propose a class of \textit{Euler-Lagrange} equations indexed by a pair of parameters () that generalizes Nesterov's accelerated gradient methods for convex () and stro…
Some rigidity properties for -self-expanders
Saul Ancari, Xu Cheng
-self-expanders in are the solutions of the isoperimetric problem with respect to the same weighted area form as in the study of the self-expanders. In th…