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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…