Ryan W. Matzke

collaborators

4 papers

math.CA2026

Discrepancy of determinantal point processes on compact, connected two-point homogeneous spaces

Carlos BeltrÃ¡n, UjuÃ© Etayo, Giacomo Gigante +2

We study the $L^{\infty}$ discrepancy of point sets generated by determinantal point processes on all compact, connected two-point homogeneous spaces, namely spheres and projective…

math.CA2026

Energy, Polarization, and Separation of Greedy Sequences for Riesz and Green Kernels

Dmitriy Bilyk, Liudmyla Kryvonos, Ryan W. Matzke +1

We investigate the asymptotic behavior of greedy $s$ -Riesz and Green energy sequences ${x_{n}}_{n = 1}^{\infty}$ on the unit sphere $S^{d} \subset R^{d + 1}$ , where…

math.CO2024

Babai Numbers and Babai Spectra of Paths and Cycles

Peter Johnson, Celalettin Kaya, Ryan W. Matzke

We study Babai numbers and Babai $k$ -spectra of paths and cycles. We completely determine the Babai numbers of paths $P_{n}$ for $n > 1$ and $1 \leq k \leq n - 1$ , and the Babai $k$ -spec…

math.CA2024

Riesz Energy with a Radial External Field: When is the Equilibrium Support a Sphere?

Djalil ChafaÃ¯, Ryan W. Matzke, Edward B. Saff +2

We consider Riesz energy problems with radial external fields. We study the question of whether or not the equilibrium is the uniform distribution on a sphere. We develop general n…