1 citations · 1 across the 5 of their papers we have counts for
5 papers
Eigenvalues on spheres
Shengjie Lin, Haibin Wang, Guoyi Xu
For every smooth Riemannian metric on the two sphere whose Gaussian curvature is bounded below by one, we prove that each positive Laplace eigenvalue, counted with multiplicity, is…
Thermodynamic Geometric Constraint on the Spectrum of Markov Rate Matrices
Guo-Hua Xu, Artemy Kolchinsky, Jean-Charles Delvenne +1
The spectrum of Markov generators encodes physical information beyond simple decay and oscillation, which reflects irreversibility and governs the structure of correlation function…
The first Neumann eigenvalue and the width
Haibin Wang, Guoyi Xu
We prove the sharp lower bound of the first Neumann eigenvalue for bounded convex planar domain in term of its diameter and width.
The first Dirichlet eigenvalue and the width
Guoyi Xu
For a geodesic ball with non-negative Ricci curvature and mean convex boundary, it is known that the first Dirichlet eigenvalue of this geodesic ball has a sharp lower bound in ter…
The rigidity of eigenfunctions' gradient estimates
Guoyi Xu, Xiaolong Xue
On compact Riemannian manifolds with non-negative Ricci curvature and smooth (possibly empty), convex (or mean convex) boundary, if the sharp Li-Yau type gradient estimate of an Ne…