2 papers
math.GT2022
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…
math.MG2022
Maximal principles in discrete conformal geometry with application to the rigidity of infinite triangulations
Yanwen Luo, Xu Xu, Chao Zheng
In this paper, maximum principles for Euclidean and hyperbolic discrete conformal structures on polyhedral surfaces are established. These maximum principles unify and generalize t…