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math.PR2026
Functional central limit theorems for Laguerre tessellations
Chinmoy Bhattacharjee, Anna Gusakova, Christian Hirsch
We study empirical processes of observable extreme generators in stationary Poisson-Laguerre tessellations, with each generator weighted either by one or by the volume of its cell.…
math.PR2026
Random hyperbolic polyhedra in horoballs
Florian Besau, Anna Gusakova, Christoph Thäle
We study the geodesic convex hull of a stationary Poisson point process restricted to a horoball in -dimensional hyperbolic space. The resulting random set is an unbounded hyper…
math.PR2026
Limits of Poisson-Laguerre tessellations
Anna Gusakova, Mathias in Wolde-Lübke
For sequences of Poisson-Laguerre tessellations and their duals in , generated by Poisson point processes in …