Beta-star polytopes and hyperbolic stochastic geometry

Motivated by problems of hyperbolic stochastic geometry we introduce and study the class of beta-star polytopes. A beta-star polytope is defined as the convex hull of an inhomogeneous Poisson processes on the complement of the unit ball in Rd with density proportional to (‖x‖2−1)−β, where ‖x‖>1 a...

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Bibliographic Details
Main Authors: Godland, T. (Author), Kabluchko, Z. (Author), Thäle, C. (Author)
Format: Article
Language:English
Published: Academic Press Inc. 2022
Subjects:
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