On the logarithmic energy of points on \(\mathbb{S}^2\)
From MaRDI portal
Publication:2680334
DOI10.1007/s11854-022-0225-4OpenAlexW4293047499MaRDI QIDQ2680334
Publication date: 29 December 2022
Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.04630
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- From the Ginzburg-Landau model to vortex lattice problems
- Small time heat kernel asymptotics at the cut locus on surfaces of revolution
- An application of hypergeometric functions to heat kernels on rectangular and hexagonal tori and a ``Weltkonstante-or-how Ramanujan split temperatures
- A lower bound for average values of dynamical Green's functions
- The crystallization conjecture: a review
- On means of distances on the surface of a sphere. II: Upper bounds
- Asymptotic expansions for \(q\)-gamma, \(q\)-exponential, and \(q\)-Bessel functions
- On the maximal product of distances between points on a sphere
- The thermodynamic limit for jellium
- Mathematical problems for the next century
- Renormalized energy and asymptotic expansion of optimal logarithmic energy on the sphere
- Expected Riesz energy of some determinantal processes on flat tori
- Discrete and continuous Green energy on compact manifolds
- Minimal discrete energy on the sphere
- The Diamond ensemble: a constructive set of spherical points with small logarithmic energy
- Approximation to uniform distribution in \(\mathrm{SO}(3)\)
- Quadrature points via heat kernel repulsion
- The spherical ensemble and uniform distribution of points on the sphere
- "Energies of zeros of random sections on Riemann surfaces" Indiana Univ. Math. J. 57 (2008), no. 4, 1753--1780: Addendum
- Minimizing the discrete logarithmic energy on the sphere: The role of random polynomials
- Universally optimal distribution of points on spheres
- Energy of zeros of random sections on Riemann surfaces
- Optimal logarithmic energy points on the unit sphere
- Some Cubic Modular Identities of Ramanujan
- Diffusion processes in a small time interval
- Asymptotic expansions of certain q-series and a formula of Ramanujan for specific values of the Riemann zeta function
- Floating Wigner crystal and periodic jellium configurations
- Spectral Limitations of Quadrature Rules and Generalized Spherical Designs
- Crystallization for Coulomb and Riesz interactions as a consequence of the Cohn-Kumar conjecture
- A Cubic Counterpart of Jacobi's Identity and the AGM
- Discrete Energy on Rectifiable Sets
- A Comparison of Popular Point Configurations on $\mathbb{S}^2$
- Localized quantitative criteria for equidistribution
- The next-order term for optimal Riesz and logarithmic energy asymptotics on the sphere
- Diffusion processes in a small time interval
- The heat kernel on the two-sphere
