8 citations · 25 across the 12 of their papers we have counts for
4 papers · 1 filter
Riemannian metrics with prescribed volume and finite parts of Dirichlet spectrum
Xiang He, Zuoqin Wang
In this paper we study the problem of prescribing Dirichlet eigenvalues on an arbitrary compact manifold of dimension with a non-empty smooth boundary . W…
Prescription of finite Dirichlet eigenvalues and area on surface with boundary
Xiang He
In the present paper, we consider Dirichlet Laplacian on compact surface. We show that for a fixed surface with boundary , a finite increasing sequence of real numbers $0<a_1<a_…
Positivity of tropical multidegrees
Xiang He
We define the multidegrees of a tropical variety. We prove that the positivity of a multidegree of a certain tropical variety is governed by the dimensions of the images of the tro…
Degenerations of Grassmannians via lattice configurations II
Xiang He, Naizhen Zhang
This paper is a continuation of our study of degenerations of Grassmannians in our last paper, called linked Grassmannians, constructed using convex lattice configurations in Bruha…