Proceedings of the American Mathematical Society· 2026Q1
On the optimality of random partial sphere coverings in high dimensions
- 0citations
- Q1SCImago
- 2026year
Short summary
In high dimensions ($d o \infty$), the maximum proportion of a unit sphere covered by $N$ geodesic caps (where $N$ grows with $d$ such that $\ln N = o(\sqrt{d})$) asymptotically approaches $1 - e^{-1}$ (approximately 63.2%).
AI-generated from the title and abstract; the full text is not read.
TakeawaysIn the app
Key pointsIn the app
Ask the paperIn the app
The rest is in the Pofolia app
Takeaways, key points and questions to the paper; new summaries every day for your field. Free.
Sign in on the web to openField: Computer Graphics and Computer-Aided Design
Computer Graphics and Computer-Aided DesignComputer Science