Riesz polarization inequalities in higher dimensions
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Publication:390504
DOI10.1016/j.jat.2013.03.003zbMath1282.31003arXiv1206.4729OpenAlexW2168836724MaRDI QIDQ390504
Publication date: 8 January 2014
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1206.4729
Electro- and magnetostatics (78A30) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)
Related Items (18)
Polarization optimality of equally spaced points on the circle for discrete potentials ⋮ INVERSE BERNSTEIN INEQUALITIES AND MIN–MAX–MIN PROBLEMS ON THE UNIT CIRCLE ⋮ Optimal discrete measures for Riesz potentials ⋮ On extremums of sums of powered distances to a finite set of points ⋮ Minimal Riesz energy on balanced fractal sets ⋮ Corrigendum to: ``Unconstrained polarization (Chebyshev) problems: basic properties and Riesz kernel asymptotics ⋮ Unnamed Item ⋮ A minimax problem for sums of translates on the torus ⋮ Covering and separation of Chebyshev points for non-integrable Riesz potentials ⋮ Reverse triangle inequalities for Riesz potentials and connections with polarization ⋮ A minimum principle for potentials with application to Chebyshev constants ⋮ Asymptotics of discrete Riesz \(d\)-polarization on subsets of \(d\)-dimensional manifolds ⋮ Polarization, sign sequences and isotropic vector systems ⋮ Unconstrained polarization (Chebyshev) problems: basic properties and Riesz kernel asymptotics ⋮ Local Properties of Riesz Minimal Energy Configurations and Equilibrium Measures ⋮ Polarization and covering on sets of low smoothness ⋮ Distributing many points on spheres: minimal energy and designs ⋮ Polarization problem on a higher-dimensional sphere for a simplex
Cites Work
- On extremums of sums of powered distances to a finite set of points
- On the sum of powered distances to certain sets of points on the circle
- Minimal Riesz energy point configurations for rectifiable \(d\)-dimensional manifolds
- Polarization optimality of equally spaced points on the circle for discrete potentials
- Transfinite diameter, Chebyshev constant and energy on locally compact spaces
- Potential theoretic approach to rendezvous numbers
- Asymptotics for minimal discrete energy on the sphere
- Asymptotics for Minimal Discrete Riesz Energy on Curves in ℝd
- Asymptotics for discrete weighted minimal Riesz energy problems on rectifiable sets
- The next-order term for optimal Riesz and logarithmic energy asymptotics on the sphere
- On Various Definitions of Capacity and Related Notions
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- Unnamed Item
- Unnamed Item
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