The derivative of the parallel volume difference

DOI10.1002/mana.201200225zbMath1291.52002OpenAlexW1486600735MaRDI QIDQ2867269

Jürgen Kampf

Publication date: 10 December 2013

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201200225

zbMATH Keywords

Boolean modelconvex geometryparallel volumeBrownian pathnon-convex body

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) 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) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Cites Work

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• The parallel volume at large distances
• Does polynomial parallel volume imply convexity?
• Polynomial parallel volume, convexity and contact distributions of random sets
• Stochastic and Integral Geometry
• On the expected surface area of the Wiener sausage
• The Brunn-Minkowski inequality
• Über den Rand von Parallelkörpern

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