Author

C. Thäle

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Preprint Sep 2026

Random hyperbolic polyhedra in horoballs

We study the geodesic convex hull of a stationary Poisson point process restricted to a horoball in $d$-dimensional hyperbolic space. The resulting random set is an unbounded hyperbolic polyhedron with a distinguished ideal direction. Projecting its boundary facets to the bounding horosphere yields a stationary Euclide...

Florian Besau, A. Gusakova, C. Thäle · 0 citations