Distance between metric measure spaces and distance matrix distributions

Name: Distance between metric measure spaces and distance matrix distributions
Creator: Ozawa, Ryunosuke
Keywords: 28D05, mm-space, distance matrix distribution, 0101 mathematics, 53C23, 10. No inequality, 01 natural sciences, box distance function

Ozawa, Ryunosuke

Found an issue? Give us feedback

Tsukuba Journal of M...arrow_drop_down

Tsukuba Journal of Mathematics

Article

Data sources: UnpayWall

Project Euclid

Other literature type . 2015

Data sources: Project Euclid

Tsukuba Journal of Mathematics

Article . 2015 . Peer-reviewed

Data sources: Crossref

https://dx.doi.org/10.21099/tk...

Article

Data sources: Microsoft Academic Graph

Distance between metric measure spaces and distance matrix distributions

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Mar 2015Publisher:Institute of Mathematics, University of TsukubaJournal:Tsukuba Journal of Mathematics, volume 38 (issn: 0387-4982,

Copyright policy )

Authors: Ozawa, Ryunosuke;

doi: 10.21099/tkbjm/1429103718

Distance between metric measure spaces and distance matrix distributions

- Summary
- Subjects
- Metrics

Abstract

We study the Prohorov distance between the distance matrix distributions of two metric measure spaces. We prove that it is not smaller than 1-box distance between two metric measure spaces and also prove that it is not larger than 0-box distance between two metric measure spaces.

Keywords

28D05, mm-space, distance matrix distribution, 53C23, box distance function

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	0
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average