A complete proof of the limit formula for observable diameter
Abstract
Abstract Ozawa and Shioya [3] proposed the limit formula for observable diameters of pyramids under weak convergence. However, we find a constructive counterexample to an inequality used in their proof. In this paper, we correct the inequality and verify the limit formula.
Fields of Study & Subjects
Probabilistic and Robust Engineering Design
Point processes and geometric inequalities
Advanced Optimization Algorithms Research
Publication details
- Journal / source
- Geometriae Dedicata
- Publisher
- Springer Science and Business Media LLC
- Volume
- 220
- Issue
- 4
- Publication date
- 26 May 2026
- Language
- EN