Concentration of product spaces
Metric Geometry
2019-09-27 v1
Abstract
We investigate the relation between the concentration and the product of metric measure spaces. We have the natural question whether, for two concentrating sequences of metric measure spaces, the sequence of their product spaces also concentrates. A partial answer is mentioned in Gromov's book. We obtain a complete answer for this question.
Keywords
Cite
@article{arxiv.1909.11910,
title = {Concentration of product spaces},
author = {Daisuke Kazukawa},
journal= {arXiv preprint arXiv:1909.11910},
year = {2019}
}
Comments
47 pages