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math.MG2014★ 102 cited
The Dual Orlicz-Brunn-Minkowski Theory
Richard J. Gardner, Daniel Hug, Wolfgang Weil +1
This paper introduces the dual Orlicz-Brunn-Minkowski theory for star sets. A radial Orlicz addition of two or more star sets is proposed and a corresponding dual Orlicz-Brunn-Mink…
math.MG2012★ 2 cited
Operations between sets in geometry
Richard J. Gardner, Daniel Hug, Wolfgang Weil
An investigation is launched into the fundamental characteristics of operations on and between sets, with a focus on compact convex sets and star sets (compact sets star-shaped wit…