High-dimensional metric-measure limit of Stiefel and flag manifolds

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We study the high-dimensional limit of (projective) Stiefel and flag manifolds as metric measure spaces in Gromov’s topology. The limits are either the infinite-dimensional Gaussian space or its quotient by some mm-isomorphic group actions, which are drastically different from the manifolds. As a corollary, we obtain some asymptotic estimates of the observable diameter of (projective) Stiefel and flag manifolds.

Original languageEnglish
Pages (from-to)873-907
Number of pages35
JournalMathematische Zeitschrift
Volume290
Issue number3-4
DOIs
Publication statusPublished - 2018 Dec 1

Keywords

  • Concentration of measure
  • Gaussian space
  • Metric measure space
  • Observable diameter
  • Pyramid

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'High-dimensional metric-measure limit of Stiefel and flag manifolds'. Together they form a unique fingerprint.

  • Cite this