Concentration, convergence, and dissipation of spaces

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We survey some parts of Gromov’s theory of metric measure spaces [6, Sect.3.½], and report our recent works [14-17], focusing on the asymptotic behavior of a sequence of spaces with unbounded dimension.

Original languageEnglish
Title of host publicationGeometry and Topology of Manifolds - 10th China-Japan Geometry Conference, 2014
EditorsReiko Miyaoka, Akito Futaki, Weiping Zhang, Zizhou Tang
PublisherSpringer New York LLC
Pages299-314
Number of pages16
ISBN (Print)9784431560197
DOIs
Publication statusPublished - 2016
Event10th Geometry Conference on Friendship between China and Japan, 2014 - Shanghai, China
Duration: 2014 Sept 72014 Sept 11

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume154
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Conference

Conference10th Geometry Conference on Friendship between China and Japan, 2014
Country/TerritoryChina
CityShanghai
Period14/9/714/9/11

Keywords

  • Lévy family
  • Metric measure space
  • Observable distance
  • Pyramid

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