J. Brauchart

activity

20072026

most citedDistributing many points on spheres: minimal energy and designs

109 citations · 567 across the 25 of their papers we have counts for

collaborators

Showing 2011 · math-phShow all

3 papers · 2 filters

math-ph2011★ 1 cited

Explicit formulas for the Riesz energy of the $N$ th roots of unity

J. S. Brauchart

The paper Brauchart, Hardin and Saff [Bull. Lond. Math. Soc. 41(4) (2009)] gives the complete asymptotic expansions of the Riesz $s$ -energy of the $N$ th roots of unity which form a…

math-ph2011★ 3 cited

Optimal Discrete Riesz Energy and Discrepancy

J. S. Brauchart

The Riesz $s$ -energy of an $N$ -point configuration in the Euclidean space $R^{p}$ is defined as the sum of reciprocal $s$ -powers of all mutual distances in this system. In…

math-ph2011★ 6 cited

A Fascinating Polynomial Sequence arising from an Electrostatics Problem on the Sphere

J. S. Brauchart, P. D. Dragnev, E. B. Saff +1

A positive unit point charge approaching from infinity a perfectly spherical isolated conductor carrying a total charge of +1 will eventually cause a negatively charged spherical c…

Explicit formulas for the Riesz energy of the Nth roots of unity

Optimal Discrete Riesz Energy and Discrepancy

A Fascinating Polynomial Sequence arising from an Electrostatics Problem on the Sphere

Explicit formulas for the Riesz energy of the $N$ th roots of unity