2 citations · 3 across the 3 of their papers we have counts for
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math.MG2015
A Valuation-Theoretic Approach to Translative-Equidecomposability
Katharina Kusejko, Lukas Parapatits
All simple translation-invariant valuations on polytopes are classified. As a direct consequence the well-known conditions for translative-equidecomposability are recovered. Furthe…
math.MG2015
Moments and Valuations
Christoph Haberl, Lukas Parapatits
All measurable and -covariant vector valued valuations on convex polytopes containing the origin in their interiors are completely classified. The moment vect…