Mußnig, F. (2022, December 8). Characterizations of intrinsic volumes on convex bodies and convex functions. Snapshots of Modern Mathematics from Oberwolfach, 11/2022. https://doi.org/10.14760/SNAP-2022-011-EN
E104-06 - Forschungsbereich Konvexe und Diskrete Geometrie
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Published in:
Snapshots of modern mathematics from Oberwolfach
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Date (published):
8-Dec-2022
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Number of Pages:
12
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Keywords:
valuation; convex body; convex function; characterization; surface area
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Abstract:
If we want to express the size of a two-dimensional shape with a number, then we usually think about its area or circumference. But what makes these quantities so special? We give an answer to this question in terms of classical mathematical results. We also take a look at applications and new generalizations to the setting of functions.
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Project title:
Hessische Ungleichungen und Erweiterungen auf Sobolev-Räumen: J 4490 (Fonds zur Förderung der wissenschaftlichen Forschung (FWF))