Transport Inequalities on Euclidean Spaces for Non-Euclidean Metrics

Sergey G. Bobkov, Michel Ledoux

Research output: Contribution to journalArticlepeer-review

Abstract

We explore upper bounds on Kantorovich transport distances between probability measures on the Euclidean spaces in terms of their Fourier-Stieltjes transforms, with focus on non-Euclidean metrics. The results are illustrated on empirical measures in the optimal matching problem on the real line.

Original languageEnglish (US)
Article number60
JournalJournal of Fourier Analysis and Applications
Volume26
Issue number4
DOIs
StatePublished - Aug 1 2020

Bibliographical note

Funding Information:
Research was partially supported by the Simons Foundation and NSF Grant DMS-1855575.

Publisher Copyright:
© 2020, Springer Science+Business Media, LLC, part of Springer Nature.

Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.

Keywords

  • Fourier analytic inequalities
  • Transport distances
  • non-Euclidean metrics

Fingerprint Dive into the research topics of 'Transport Inequalities on Euclidean Spaces for Non-Euclidean Metrics'. Together they form a unique fingerprint.

Cite this