The parallel volume at large distances

DOI10.1007/s10711-011-9669-xzbMath1270.52003OpenAlexW2077493815MaRDI QIDQ715179

D. Kharzeev

Publication date: 2 November 2012

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://pure.au.dk/ws/files/41807894/imf_csgb_2010_01.pdf

zbMATH Keywords

Minkowski spaceconvex geometryparallel volumenon-convex bodyrandom compact set

Mathematics Subject Classification ID

Length, area, volume and convex sets (aspects of convex geometry) (52A38) Convex sets in (2) dimensions (including convex curves) (52A10) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (3)

On the analogue of the concavity of entropy power in the Brunn-Minkowski theory ⋮ On the improvement of concavity of convex measures ⋮ The derivative of the parallel volume difference

Cites Work

• On weighted parallel volumes
• Does polynomial parallel volume imply convexity?
• Polynomial parallel volume, convexity and contact distributions of random sets
• Stochastic and Integral Geometry
• Über den Rand von Parallelkörpern
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