2016/11/13 by Florian Besau, Monika Ludwig, Elisabeth M. Werner · 24 citations
Computer Science · Mathematics · #Approximation error #Computational Geometry and Mesh Generation #Fixed Point Theorems Analysis #Geometry #Hilbert space #Mathematical analysis #Mathematical proof #Mathematics #Point processes and geometric inequalities #Pure mathematics #Space (punctuation) #math.DG #math.MG #math.PR #msc:52A27 #msc:52A38 #msc:52A55 #msc:53C60 #msc:60D05
paper · pdf · doi:10.1090/tran/7233
published in Transactions of the American Mathematical Society 370(10), 7129-7148 (American Mathematical Society)
arxiv created 2016/11/13 · openalex publication_date 2017/03/22 · arxiv updated 2019/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Asymptotic results for weighted floating bodies are established and used to obtain new proofs for the existence of floating areas on the sphere and in hyperbolic space and to establish the existence of floating areas in Hilbert geometries. Results on weighted best and random approximation and the new approach to floating areas are combined to derive new asymptotic approximation results on the sphere, in hyperbolic space, and in Hilbert geometries.