6 papers
Characterizations of infinite circle patterns and convex polyhedra in hyperbolic 3-space
Huabin Ge, Longsong Jia, Hao Yu +1
Since Thurston pioneered the connection between circle packing (abbr. CP) and three-dimensional geometric topology, the characterization of CPs and hyperbolic polyhedra has become…
Characterization of Infinite Ideal Polyhedra in Hyperbolic 3-Space via Combinatorial Ricci Flow
Huabin Ge, Bobo Hua, Hao Yu +1
In his seminal work \cite{Ri96}, Rivin characterized finite ideal polyhedra in three-dimensional hyperbolic space. However, the characterization of infinite ideal polyhedra, as pro…
Infinite Ideal Polyhedra in Hyperbolic 3-Space: Existence and Rigidity
Huabin Ge, Hao Yu, Puchun Zhou
In the seminal work [27], Rivin obtained a complete characterization of finite ideal polyhedra in hyperbolic 3-space by the exterior dihedral angles. Since then,the characterizatio…
Combinatorial Ricci flows on infinite disk triangulations
Huabin Ge, Bobo Hua, Puchun Zhou
In this paper, we introduce combinatorial Ricci flows (CRFs in short) in Euclidean and hyperbolic background geometries on infinite triangulations of the open disk, which are discr…
Asymptotic behavior of discrete Schrödinger equations on the hexagonal triangulation
Huabin Ge, Bobo Hua, Longsong Jia +1
In this article, we prove the decay estimate for the discrete Schrödinger equation (DS) on the hexagonal triangulation. The dispersive decay rate is $\lef…
The rigidity of Doyle circle packings on the infinite hexagonal triangulation
Bobo Hua, Puchun Zhou
Peter Doyle conjectured that locally univalent circle packings on the hexagonal lattice only consist of regular hexagonal packings and Doyle spirals, which is called the Doyle conj…