Discrete and continuous Green energy on compact manifolds
From MaRDI portal
Publication:1801181
DOI10.1016/j.jat.2018.09.004zbMath1402.31005arXiv1702.00864OpenAlexW2593222208WikidataQ129208658 ScholiaQ129208658MaRDI QIDQ1801181
Nuria Corral, Juan G. Criado del Rey, Carlos Beltran
Publication date: 26 October 2018
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1702.00864
Elliptic equations on manifolds, general theory (58J05) Potential theory on Riemannian manifolds and other spaces (31C12)
Related Items (18)
Sequences of well-distributed vertices on graphs and spectral bounds on optimal transport ⋮ Concentration for Coulomb gases on compact manifolds ⋮ Optimal Green energy points on the circles in \(d\)-space ⋮ Fractality in cosmic topology models with spectral action gravity ⋮ Critical measures on higher genus Riemann surfaces ⋮ Non-standard green energy problems in the complex plane ⋮ On the logarithmic energy of points on \(\mathbb{S}^2\) ⋮ Point vortex dynamics on Kähler twistor spaces ⋮ Riesz and Green energy on projective spaces ⋮ A lower bound for the logarithmic energy on \(\mathbb{S}^2\) and for the Green energy on \(\mathbb{S}^n\) ⋮ Low-energy points on the sphere and the real projective plane ⋮ Approximation to uniform distribution in \(\mathrm{SO}(3)\) ⋮ Positive-definite functions, exponential sums and the greedy algorithm: a curious phenomenon ⋮ Unnamed Item ⋮ Green energy and extremal decompositions ⋮ A Wasserstein inequality and minimal Green energy on compact manifolds ⋮ Discrepancy of minimal Riesz energy points ⋮ A large deviation principle for empirical measures on Polish spaces: application to singular Gibbs measures on manifolds
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Energy and discrepancy of rotationally invariant determinantal point processes in high dimensional spheres
- Optimal asymptotic bounds for spherical designs
- Low complexity methods for discretizing manifolds via Riesz energy minimization
- Finite point-sets on S 2 with minimum distance as large as possible
- On means of distances on the surface of a sphere. II: Upper bounds
- Distributing many points on a sphere
- Mathematical problems for the next century
- Asymptotically optimal designs on compact algebraic manifolds
- Renormalized energy and asymptotic expansion of optimal logarithmic energy on the sphere
- Minimal discrete energy on the sphere
- Point sets on the sphere \(\mathbb{S}^{2}\) with small spherical cap discrepancy
- Optimal \(N\)-point configurations on the sphere: ``magic numbers and Smale's 7th problem
- A facility location formulation for stable polynomials and elliptic Fekete points
- Distributing many points on spheres: minimal energy and designs
- 2D Coulomb gases and the renormalized energy
- Complexity of Bezout's theorem. III: Condition number and packing
- Discrepancy, separation and Riesz energy of finite point sets on the unit sphere
- Über eine Abschätzung des kürzesten Abstandes zweier Punkte eines auf einer Kugelfläche liegenden Punktsystems
- Auf welcher Kugel haben 5, 6, 7, 8 oder 9 Punkte mit Mindestabstand Eins Platz?
- The Logarithmic Singularities of the Green Functions of the Conformal Powers of the Laplacian
- Optimal Discrete Riesz Energy and Discrepancy
- Equilibrium of Sets of Particles on a Sphere
- Sums of distances between points on a sphere — an application of the theory of irregularities of distribution to discrete Geometry
- Universally optimal distribution of points on spheres
- Hecke operators and distributing points on the sphere I
- Hecke operators and distributing points on S2. II
- Some regularity theorems in riemannian geometry
- Spherical Designs, Discrepancy and Numerical Integration
- Asymptotics for minimal discrete energy on the sphere
- Localized quantitative criteria for equidistribution
- About the second term of the asymptotics for optimal Riesz energy on the sphere in the potential-theoretical case
- The next-order term for optimal Riesz and logarithmic energy asymptotics on the sphere
- Unique Arrangements of Points on a Sphere
- Sur les espaces riemanniens complètement harmoniques
- How good can polynomial interpolation on the sphere be?
This page was built for publication: Discrete and continuous Green energy on compact manifolds
