REMARKS ABOUT MIXED DISCRIMINANTS AND VOLUMES

DOI10.1142/S0219199713500314zbMath1292.52004arXiv1306.1315MaRDI QIDQ5417132

Dan I. Florentin, Yaron Ostrover, Shiri Artstein-Avidan

Publication date: 16 May 2014

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.1315

zbMATH Keywords

mixed volumeconvex bodyzonoidpositive semi-definite matrixmixed discriminantmonotonicity of information

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Mixed volumes and related topics in convex geometry (52A39) 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)

Related Items (15)

Reverse Alexandrov–Fenchel inequalities for zonoids ⋮ Uniform cover inequalities for the volume of coordinate sections and projections of convex bodies ⋮ Extremizers in Soprunov and Zvavitch's Bezout inequalities for mixed volumes ⋮ Weighted Brunn-Minkowski theory. I: On weighted surface area measures ⋮ Volumes of subset Minkowski sums and the Lyusternik region ⋮ Short note on some geometric inequalities derived from matrix inequalities ⋮ On linearized versions of matrix inequalities ⋮ On the volume of the Minkowski sum of zonoids ⋮ Convex geometry and its applications. Abstracts from the workshop held December 12--18, 2021 (hybrid meeting) ⋮ Improved bounds in Weaver and Feichtinger conjectures ⋮ The convexification effect of Minkowski summation ⋮ Mixed volumes and the Bochner method ⋮ Upper and lower bounds for matrix discrepancy ⋮ Wulff shapes and a characterization of simplices via a Bezout type inequality ⋮ Bézout-Type Inequality in Convex Geometry

Cites Work

• Reverse inequalities for zonoids and their application
• Mixed discriminants of positive semidefinite matrices
• Isoperimetric inequalities for the mixed area of plane convex sets
• Some inequalities about mixed volumes
• ON SOME PROPERTIES OF MIXED DISCRIMINANTS
• Information theoretic inequalities
• On a local version of the Aleksandrov-Fenchel inequality for the quermassintegrals of a convex body
• The Smallest Sphere Containing a Rectifiable Curve

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