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math.PR2019
Does a central limit theorem hold for the -skeleton of Poisson hyperplanes in hyperbolic space?
Felix Herold, Daniel Hug, Christoph Thähle
Poisson processes in the space of -dimensional totally geodesic subspaces (hyperplanes) in a -dimensional hyperbolic space of constant curvature are studied. The …
math.PR2019
Poisson hyperplane processes and approximation of convex bodies
Daniel Hug, Rolf Schneider
A natural model for the approximation of a convex body in by random polytopes is obtained as follows. Take a stationary Poisson hyperplane process in the space,…