6 papers
The Calabi flow with prescribed curvature on finite graphs
Yi Li, Jie Wang, Pingsan Yuan +1
In this paper, we investigate the prescribed curvature problem associated with a special Lin-Lu-Yau curvature on finite graphs of girth at least 6. We define the corresponding Cala…
Infinite rigidity of inversive distance circle packings in the Poincaré disk
Yanwen Luo, Xu Xu, Chao Zheng
The maximum principle for hyperbolic inversive distance circle packings on polyhedral surfaces is established,which unifies and generalizes existing maximum principles for various…
Discrete conformal structures on surfaces with boundary (III) -- Deformation
Xu Xu, Chao Zheng
The present work constitutes the third installment in a series of investigations devoted to discrete conformal structures on surfaces with boundary. In our preceding works \cite{X-…
A new proof for global rigidity of vertex scaling on polyhedral surfaces
Xu Xu, Chao Zheng
The vertex scaling for piecewise linear metrics on polyhedral surfaces was introduced by Luo, who proved the local rigidity by establishing a variational principle and conjectured…
Density-Based Clustering with Kernel Diffusion
Chao Zheng, Yingjie Chen, Chong Chen +2
Finding a suitable density function is essential for density-based clustering algorithms such as DBSCAN and DPC. A naive density corresponding to the indicator function of a unit $…
Parameterized discrete uniformization theorems and curvature flows for polyhedral surfaces, II
Xu Xu, Chao Zheng
This paper investigates the combinatorial -curvature for vertex scaling of piecewise hyperbolic metrics on polyhedral surfaces, which is a parameterized generalization of the cl…