Phase transitions for the minimizers of the \(p\)-frame potentials in \(\mathbb{R}^2\)
DOI10.1137/22M1539915zbMATH Open1545.42026MaRDI QIDQ6581614
[[Person:6042733|Author name not available (Why is that?)]], Assaf Goldberger, Xuemei Chen, Kasso Akochayé Okoudjou, Radel Ben-Av
Publication date: 31 July 2024
Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)
Inequalities and extremum problems involving convexity in convex geometry (52A40) General harmonic expansions, frames (42C15) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17)
Cites Work
- Minimization of the probabilistic \(p\)-frame potential
- Finite normalized tight frames
- Universal optimal configurations for the \(p\)-frame potentials
- Optimal measures for \(p\)-frame energies on spheres
- Nearly orthogonal vectors and small antipodal spherical codes
- On the search for tight frames of low coherence
- On the angle sum of lines
- Über eine Punktverteilung auf der Kugel
- Universally optimal distribution of points on spheres
- Lower bounds on the maximum cross correlation of signals (Corresp.)
- On the Fejes Tóth problem about the sum of angles between lines
- Repeated Minimizers of $p$-Frame Energies
- Discrete Energy on Rectifiable Sets
- Frame Potential in CPn Some Numerical and Analytical Results
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