3 papers
math.PR2026
A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra
Huabin Ge, Yangxiang Lu, Chuwen Wang +1
We develop a unified geometric and probabilistic theory of conformal type for unimodular random infinite trivalent hyperbolic polyhedra in . By corresponding these wi…
math.PR2026
Random infinite ideal angled graphs and ideal hyperbolic polyhedra
Huabin Ge, Yangxiang Lu, Chuwen Wang +1
This article aims to develop the theory of random infinite ideal hyperbolic polyhedra (abbr. IHP) from multiple perspectives, including combinatorics, geometry, analysis, and rando…
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…