A Complete Proof of the Limit Formula for Observable Diameter
Metric Geometry
2024-07-12 v1 Probability
Abstract
Ozawa and Shioya 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.
Cite
@article{arxiv.2407.08122,
title = {A Complete Proof of the Limit Formula for Observable Diameter},
author = {Shigeaki Yokota},
journal= {arXiv preprint arXiv:2407.08122},
year = {2024}
}
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9 pages