A. Glazyrin

activity

20092026

s

-distance sets and equiangular lines

16 citations · 47 across the 18 of their papers we have counts for

collaborators

Showing 2019Show all

5 papers · 1 filter

math.CA2019

Energy on spheres and discreteness of minimizing measures

Dmitriy Bilyk, Alexey Glazyrin, Ryan Matzke +2

In the present paper we study the minimization of energy integrals on the sphere with a focus on an interesting clustering phenomenon: for certain types of potentials, optimal meas…

math.MG2019

Optimal measures for p-frame energies on spheres

Dmitriy Bilyk, Alexey Glazyrin, Ryan Matzke +2

We provide new answers about the placement of mass on spheres so as to minimize energies of pairwise interactions. We find optimal measures for the $p$ -frame energies, i.e. energie…

math.MG2019

Covering by homothets and illuminating convex bodies

Alexey Glazyrin

The paper is devoted to coverings by translative homothets and illuminations of convex bodies. For a given positive number $α$ and a convex body $B$ , $g_{α} (B)$ is the infimum of $α$ …

math.MG2019★ 4 cited

Moments of isotropic measures and optimal projective codes

Alexey Glazyrin

In this paper, we use the linear programming approach to find new upper bounds for the moments of isotropic measures. These bounds are then utilized for finding lower packing bound…

math.MG2019★ 4 cited

Repeated minimizers of $p$ -frame energies

Alexey Glazyrin, Josiah Park

For a collection of $N$ unit vectors $X = {x_{i}}_{i = 1}^{N}$ , define the $p$ -frame energy of $X$ as the quantity $\sum_{i \neq = j} ∣ ⟨ x_{i}, x_{j} ⟩ ∣^{p}$ . In this…