42 citations · 140 across the 29 of their papers we have counts for
30 papers
Combinatorial curvature flows with surgery for inversive distance circle packings on surfaces
Xu Xu, Chao Zheng
Inversive distance circle packings introduced by Bowers-Stephenson are natural generalizations of Thurston's circle packings on surfaces. To find piecewise Euclidean metrics on sur…
On the classification of discrete conformal structures on surfaces
Xu Xu, Chao Zheng
Glickenstein \cite{Glickenstein} and Glickenstein-Thomas \cite{GT} introduced the discrete conformal structures on surfaces in an axiomatic approach and studied its classification.…
Rigidity of infinite inversive distance circle packings in the plane
Yanwen Luo, Xu Xu, Siqi Zhang
In 2004, Bowers-Stephenson [2] introduced the inversive distance circle packings as a natural generalization of Thurston's circle packings. They further conjectured the rigidity of…
Combinatorial curvature flows for generalized circle packings on surfaces with boundary
Xu Xu, Chao Zheng
In this paper, we investigate the deformation of generalized circle packings on ideally triangulated surfaces with boundary, which is the type generalized circle packi…
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…
Prescribing discrete Gaussian curvature on polyhedral surfaces
Xu Xu, Chao Zheng
Vertex scaling of piecewise linear metrics on surfaces introduced by Luo is a straightforward discretization of smooth conformal structures on surfaces. Combinatorial -curvature…