1 citations · 2 across the 7 of their papers we have counts for
14 papers
Two families of reducible spherical conical metrics
Haoran Wu, Xuwen Zhu
We analyze a 1-parameter family of heart shape and a 3-parameter family obtained by gluing three footballs, both of which are examples of reducible spherical conical metrics. For t…
Tian--Yau metrics: Fredholm theory, Hodge cohomology and moduli spaces
Rafe Mazzeo, Xuwen Zhu
We study the natural geometric elliptic operators on a class of complete Riemannian manifolds which include the 4-dimensional ALH* gravitational instantons and their higher dimensi…
A gluing construction of ALF gravitational instantons and existence of non-holomorphic minimal spheres
Xuwen Zhu
This note extends the construction of ALF gravitational instantons in Schroers--Singer to a new case where the nonlinear superposition is given by the Atiyah--Hitch…
Degenerating hyperbolic surfaces and spectral gaps for large genus
Yunhui Wu, Haohao Zhang, Xuwen Zhu
In this article we study the differences of two consecutive eigenvalues up to for the Laplacian on hyperbolic surfaces of genus , and show that the supr…
Learning trends of COVID-19 using semi-supervised clustering
Semhar Michael, Xuwen Zhu, Volodymyr Melnykov
A finite mixture model is used to learn trends from the currently available data on coronavirus (COVID-19). Data on the number of confirmed COVID-19 related cases and deaths for Eu…
Spherical conical metrics and harmonic maps to spheres
Mikhail Karpukhin, Xuwen Zhu
A spherical conical metric on a surface is a metric of constant curvature with finitely many isolated conical singularities. The uniformization problem for such metrics…