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20122017
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35 citations · 86 across the 8 of their papers we have counts for

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Showing 2014 · math.MGShow all

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math.MG2014

Log-Concavity Properties of Minkowski Valuations

Astrid Berg, Lukas Parapatits, Franz E. Schuster +1

New Orlicz Brunn-Minkowski inequalities are established for rigid motion compatible Minkowski valuations of arbitrary degree. These extend classical log-concavity properties of int…

math.MG2014

Valuations and Surface Area Measures

Christoph Haberl, Lukas Parapatits

We consider valuations defined on polytopes containing the origin which have measures on the sphere as values. We show that the classical surface area measure is essentially the on…

math.MG2014★ 17 cited

SL(n)-Contravariant -Minkowski Valuations

Lukas Parapatits

All SL(n)-contravariant -Minkowski valuations on polytopes are completely classified. The prototypes of such valuations turn out to be the asymmetric -projection body ope…