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math.PR2026
Limit laws for longest edges in empty region graphs
Holger Sambale, Matthias Schulte, Christoph Thaele
Empty region graphs are graphs whose vertices are points in and where two vertices are connected by an edge whenever some associated region does not contain any othe…
math.PR2026
Seeing Through Hyperbolic Space: Visibility for -Geodesic Hyperplanes
Zakhar Kabluchko, Vanessa Mattutat, Christoph Thaele
We study visibility from a fixed point in the presence of a Poisson process of --geodesic hyperplanes in a -dimensional hyperbolic space. The family of --geodesic hyperpla…