Minimal Riesz energy point configurations for rectifiable d-dimensional manifolds

2004/07/07 by D.P. Hardin, Douglas P. Hardin, E.B. Saff +1 · 144 citations
Materials Science · Mathematics · #Combinatorics #Energy (signal processing) #Euclidean geometry #Geometry #Hausdorff space #Markov Chains and Monte Carlo Methods #Mathematical Approximation and Integration #Mathematics #Measure (data warehouse) #Quasicrystal Structures and Properties #Statistics #Unit disk

paper · doi:10.1016/j.aim.2004.05.006

published in Advances in Mathematics 193(1), 174-204 (Elsevier BV)

openalex publication_date 2004/07/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/26

Cited by

• On the Search for Tight Frames of Low Coherence
• Polarization and covering on sets of low smoothness
• Learning towards Minimum Hyperspherical Energy
• On stability, superstability and strong superstability of classical systems of Statistical Mechanics
• Asymptotic properties of short-range interaction functionals
• Equality of the Jellium and Uniform Electron Gas next-order asymptotic terms for Coulomb and Riesz potentials
• Orthogonal Over-Parameterized Training
• On minimizers of an isoperimetric problem with long-range interactions under a convexity constraint
• Computational cost of the Fekete problem I: The Forces Method on the 2-sphere
• Graph-based molecular Pareto optimisation. [europepmc]
• Extended Sampling of Macromolecular Conformations from Uniformly Distributed Points on Multidimensional Normal Mode Hyperspheres. [europepmc]