Ulam floating bodies

DOI10.1112/jlms.12226zbMath1431.52006arXiv1803.08224OpenAlexW2944130199WikidataQ127902787 ScholiaQ127902787MaRDI QIDQ4973664

Boaz A. Slomka, Han Huang, Elisabeth M. Werner

Publication date: 28 November 2019

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.08224

zbMATH Keywords

weighted floating bodiesUlam floating bodies

Mathematics Subject Classification ID

Length, area, volume and convex sets (aspects of convex geometry) (52A38) Approximation by convex sets (52A27) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items

Convex bodies generated by sublinear expectations of random vectors ⋮ Convex floating bodies of equilibrium ⋮ A negative answer to Ulam's problem 19 from the Scottish Book ⋮ Constrained convex bodies with extremal affine surface areas ⋮ Curvature functionals on convex bodies ⋮ Ulam floating functions ⋮ On bodies floating in equilibrium in every orientation ⋮ Spherical centroid bodies ⋮ Convex geometry and its applications. Abstracts from the workshop held December 12--18, 2021 (hybrid meeting) ⋮ Affine invariant maps for log-concave functions

Cites Work

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• The spherical convex floating body
• Volume preserving centro-affine normal flows
• Functional affine-isoperimetry and an inverse logarithmic Sobolev inequality
• Rényi divergence and \(L_p\)-affine surface area for convex bodies
• On the stability of the \(p\)-affine isoperimetric inequality
• \(\mathrm{SL}(n)\) invariant valuations on polytopes
• The combinatorial structure of random polytopes
• Extended affine surface area
• A geometric property of the boundary of symmetric convex bodies and convexity of flotation surfaces
• Zur Affinoberfläche konvexer Körper. (On affine surfaces of convex bodies)
• Volume approximation of convex bodies by inscribed polytopes
• The convex floating body and polyhedral approximation
• Unsolved problems in geometry
• Contributions to affine surface area
• Blaschke-Santaló inequalities
• On the number of solutions to the discrete two-dimensional \(L_{0}\)-Minkowski problem.
• On the \(p\)-affine surface area
• Approximation of general smooth convex bodies
• The discrete planar \(L_0\)-Minkowski problem
• Approximation of smooth convex bodies by random polytopes
• The floating body in real space forms
• Characterizations of ellipsoids by section-centroid location
• Bemerkungen zur Definition einer erweiterten Affinoberfläche von E. Lutwak. (Remarks on the definition of extended affine surface area given by E. Lutwak)
• The Cramer-Rao inequality for star bodies
• Surface bodies and \(p\)-affine surface area
• Moment-entropy inequalities.
• The Brunn-Minkowski-Firey theory. II: Affine and geominimal surface areas
• Contraction of convex hypersurfaces by their affine normal
• Polytopal approximation bounding the number of \(k\)-faces
• A stability result for mean width of \(L_{p}\)-centroid bodies
• Approximations of convex bodies by measure-generated sets
• New \(L_p\) affine isoperimetric inequalities
• Divergence for \(s\)-concave and log concave functions
• Relative entropy of cone measures and L _p centroid bodies
• On the Affine Surface Area
• The geometry of logconcave functions and sampling algorithms
• CramÉr–Rao and Moment-Entropy Inequalities for Renyi Entropy and Generalized Fisher Information
• Convex bodies, economic cap coverings, random polytopes
• The convex floating body.
• How Things Float
• The affine curve-lengthening flow
• Random Polytopes and Affine Surface Area
• Asymptotic approximation of smooth convex bodies by general polytopes
• Weighted floating bodies and polytopal approximation
• The affine Plateau problem
• Neutrally Floating Objects of Density ½ in Three Dimensions
• Convex and Discrete Geometry
• On $L_p$-affine surface areas

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