3 papers
math.PR2026
Geometry of Unimodular Random Hyperbolic Polyhedra
Huabin Ge, Yangxiang Lu, Chuwen Wang +1
We develop a geometric and probabilistic theory of unimodular random infinite trivalent hyperbolic polyhedra in , allowing ordinary, ideal, and hyperideal vertices. O…
math.PR2026
Unimodular random ideal hyperbolic polyhedra: geometric characteristics and random walks
Huabin Ge, Yangxiang Lu, Chuwen Wang +1
We initiate a systematic study of unimodular random infinite ideal hyperbolic polyhedra in three-dimensional hyperbolic space, developing a geometric and probabilistic theory of th…
math.GT2025
Infinite combinatorial Ricci flow in spherical background geometry
Chang Li, Yangxiang Lu, Hao Yu
Since the fundamental work of Chow-Luo \cite{CL03}, Ge \cite{Ge12,Ge17} et al., the combinatorial curvature flow methods became a basic technique in the study of circle pattern the…