P. Dragnev

activity

20092026

most citedMinimal Riesz energy on the sphere for axis-supported external fields

24 citations · 79 across the 31 of their papers we have counts for

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math.CO2025

Universal polar dual pairs]{Universal polar dual pairs of spherical codes found in $E_{8}$ and the Leech lattice

S. V. Borodachov, P. G. Boyvalenkov, P. D. Dragnev +3

We identify universal polar dual pairs of spherical codes $C$ and $D$ such that for a large class of potential functions $h$ the minima of the discrete $h$ -potential of $C$ on the…

math.CA2025

Riesz equilibrium on a ball in the external field of a point charge

Peter D. Dragnev, Ramon Orive, Eduard B. Saff +1

We investigate the Riesz energy minimization problem on a $d$ -dimensional ball in the presence of an external field created by a point charge above the ball in $R^{d + 1}$ , $d \geq 1$ …

math.CO2025

Universal optimality of $T$ -avoiding spherical codes and designs

P. G. Boyvalenkov, D. D. Cherkashin, P. D. Dragnev

Given an open set $T \subset [- 1, 1)$ , we introduce the concepts of $T$ -avoiding spherical codes and designs, that is, spherical codes that have no inner products in the set $T$ . We…

Universal polar dual pairs]{Universal polar dual pairs of spherical codes found in E8​ and the Leech lattice

Riesz equilibrium on a ball in the external field of a point charge

Universal optimality of T-avoiding spherical codes and designs

Universal polar dual pairs]{Universal polar dual pairs of spherical codes found in $E_{8}$ and the Leech lattice

Universal optimality of $T$ -avoiding spherical codes and designs