Energy and discrepancy of rotationally invariant determinantal point processes in high dimensional spheres
type: Item
instance of: scholarly article
title: Energy and discrepancy of rotationally invariant determinantal point processes in high dimensional spheres
zbMATH Open document ID: 1366.60079
author: Jordi Marzo
author: Joaquim Ortega-Cerdà
author: Carlos Beltrán
published in: Journal of Complexity
publication date: 2016-10-17T00:00:00Z
full work available at URL: https://arxiv.org/abs/1511.02535
Mathematics Subject Classification ID: 60G55
Mathematics Subject Classification ID: 60D05
Mathematics Subject Classification ID: 31C45
zbMATH DE Number: 6640081
zbMATH Keywords: Riesz energy
zbMATH Keywords: logarithmic energy
zbMATH Keywords: determinantal processes
zbMATH Keywords: spherical harmonics
zbMATH Keywords: discrepancy
MaRDI profile type: Publication
OpenAlex ID: W3106212841
arXiv ID: 1511.02535
cites work: Point sets on the sphere \(\mathbb{S}^{2}\) with small spherical cap discrepancy
cites work: The spherical ensemble and uniform distribution of points on the sphere
cites work: An Introduction to Random Matrices
cites work: Minimizing the discrete logarithmic energy on the sphere: The role of random polynomials
cites work: Sums of distances between points on a sphere — an application of the theory of irregularities of distribution to discrete Geometry
cites work: Q3639225
cites work: Optimal logarithmic energy points on the unit sphere
cites work: Distributing many points on spheres: minimal energy and designs
cites work: The next-order term for optimal Riesz and logarithmic energy asymptotics on the sphere
cites work: QMC designs: Optimal order Quasi Monte Carlo integration schemes on the sphere
cites work: Riesz spherical potentials with external fields and minimal energy points separation
cites work: Q5827353
cites work: Random Riesz energies on compact Kähler manifolds
cites work: Q4275389
cites work: From random matrices to random analytic functions
cites work: Asymptotics for minimal discrete energy on the sphere
cites work: Hecke operators and distributing points on the sphere I
cites work: Hecke operators and distributing points on S2. II
cites work: Marcinkiewicz-Zygmund inequalities and interpolation by spherical harmonics
cites work: Spherical harmonics
cites work: NEXT ORDER ASYMPTOTICS AND RENORMALIZED ENERGY FOR RIESZ INTERACTIONS
cites work: Minimal discrete energy on the sphere
cites work: Complex determinantal processes and \(H^1\) noise
cites work: 2D Coulomb gases and the renormalized energy
cites work: Positive definite functions on spheres
cites work: Das Problem der dreizehn Kugeln
cites work: Number variance of random zeros on complex manifolds
cites work: Complexity of Bezout's theorem. III: Condition number and packing
cites work: Random complex zeroes. I: Asymptotic normality
cites work: Determinantal random point fields
cites work: Q5640160
cites work: Energy of zeros of random sections on Riemann surfaces
cites work: Addendum to ``Energies of zeros of random sections on Riemann surface'' Indiana Univ. Math. J. 57 (2008), No. 4, 1753--1780
DOI: 10.1016/J.JCO.2016.08.001
description: scientific article; zbMATH DE number 6640081