Magnitude and Holmes–Thompson intrinsic volumes of convex bodies

DOI10.4153/s0008439522000728arXiv2206.02600MaRDI QIDQ6052794

Mark W. Meckes

Publication date: 25 September 2023

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.02600

zbMATH Keywords

Mahler's conjecturemagnitudeSudakov minorationHolmes-Thompson intrinsic volumes

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Metric geometry (51F99) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Cites Work

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• Positive definite metric spaces
• The magnitude of metric spaces
• Integral geometry for the 1-norm
• Regularity of Gaussian processes
• Inequalities between intrinsic volumes
• The Weyl principle on the Finsler frontier
• Valuations with Crofton formula and Finsler geometry
• Zonoids with minimal volume-product
• Gitterpunktanzahl im Simplex und Wills'sche Vermutung
• Integral geometry in Minkowski spaces
• Chaining, interpolation, and convexity
• Symmetric Mahler's conjecture for the volume product in the \(3\)-dimensional case
• Magnitude, diversity, capacities, and dimensions of metric spaces
• On the magnitude of spheres, surfaces and other homogeneous spaces
• Zur Gitterpunktanzahl konvexer Mengen
• The magnitude of a graph
• Stochastic and Integral Geometry
• Random polytopes and the volume-product of symmetric convex bodies.
• Zonoids with Minimal Volume-Product--A New Proof
• Processus gaussiens et volumes mixtes
• Crofton formulas in projective Finsler spaces
• On the magnitudes of compact sets in Euclidean spaces
• On the magnitude function of domains in Euclidean space
• The Maximum Entropy of a Metric Space
• The Willmore energy and the magnitude of Euclidean domains
• The magnitude of a metric space: from category theory to geometric measure theory
• ON THE MAGNITUDE AND INTRINSIC VOLUMES OF A CONVEX BODY IN EUCLIDEAN SPACE
• The magnitude of odd balls via Hankel determinants of reverse Bessel polynomials
• Entropy and Diversity
• Further inequalities for the (generalized) Wills functional
• Asymptotic Geometric Analysis, Part I
• Upper and Lower Bounds for Stochastic Processes
• Convex Bodies The Brunn-MinkowskiTheory
• A theorem on transfer for convex bodies
• Geometry of cuts and metrics
• Spaces of extremal magnitude

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