John and Loewner ellipsoids
From MaRDI portal
Publication:650104
DOI10.1007/s00454-011-9354-8zbMath1241.52002OpenAlexW2028140316MaRDI QIDQ650104
Publication date: 25 November 2011
Published in: Discrete \& Computational Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00454-011-9354-8
Length, area, volume and convex sets (aspects of convex geometry) (52A38) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)
Related Items (19)
ON SOME RELATIONS BETWEEN THE CONE OF POSITIVE SEMIDEFINITE MATRICES AND THE MOMENT CONE ⋮ The logarithmic John ellipsoid ⋮ Orlicz-Legendre ellipsoids ⋮ Volume inequalities of convex bodies from cosine transforms on Grassmann manifolds ⋮ Solving continuous set covering problems by means of semi-infinite optimization. With an application in product portfolio optimization ⋮ The minimal Orlicz surface area ⋮ Measuring centrality and dispersion in directional datasets: the ellipsoidal cone covering approach ⋮ An \(\text{SL}(n)\)-invariant mixed integral \(L_p\) affine surface area ⋮ Orlicz-John ellipsoids ⋮ Minimal area ellipses in the hyperbolic plane ⋮ Normal bundles of convex bodies ⋮ \((p, q)\)-John ellipsoids ⋮ Conic version of Loewner-John ellipsoid theorem ⋮ Quantitative combinatorial geometry for concave functions ⋮ Lattice packing and covering of convex bodies ⋮ Application of an idea of Voronoĭ to lattice zeta functions ⋮ On mixed \(L_{p}\) John ellipsoids ⋮ A sharp dual \(L_p\) John ellipsoid problem for \(p\le -n-1\) ⋮ The minimal Orlicz mean width of convex bodies
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Uniqueness results for minimal enclosing ellipsoids
- Application of an idea of Voronoĭ to lattice packing
- Application of an idea of Voronoĭ to lattice zeta functions
- Über das Löwnersche Ellipsoid und sein Analogon unter den einem Eikörper einbeschriebenen Ellipsoiden
- Minimal ellipsoids and their duals
- Ellipsoids of maximal volume in convex bodies
- Riemann surfaces with shortest geodesic of maximal length
- Systoles on Riemann surfaces
- Application of an idea of Voronoĭ to John type problems
- An arithmetic proof of John's ellipsoid theorem
- John's decomposition in the general case and applications
- Minima of Epstein's zeta function and heights of flat tori
- Voronoĭ type criteria for lattice coverings with balls
- Spherical designs and zeta functions of lattices
- Geometry of Riemann surfaces based on closed geodesics
- Perfect Non-Extremal Riemann Surfaces
- Convex and Discrete Geometry
- John's theorem for an arbitrary pair of convex bodies
- John's decomposition of the identity in the non-convex case
This page was built for publication: John and Loewner ellipsoids
