Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

From dimension free concentration to Poincaré inequality

Abstract : We prove that a probability measure on an abstract metric space satisfies a non trivial dimension free concentration inequality for the $\ell_2$ metric if and only if it satisfies the Poincaré inequality.
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

https://hal-upec-upem.archives-ouvertes.fr/hal-00823733
Contributor : Nathael Gozlan <>
Submitted on : Friday, May 17, 2013 - 5:22:55 PM
Last modification on : Thursday, March 19, 2020 - 12:26:03 PM
Long-term archiving on: : Sunday, August 18, 2013 - 4:16:11 AM

Files

Poincare-Arxiv.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-00823733, version 1
  • ARXIV : 1305.4331

Citation

Nathael Gozlan, Cyril Roberto, Paul-Marie Samson. From dimension free concentration to Poincaré inequality. 2013. ⟨hal-00823733v1⟩

Share

Metrics

Record views

78

Files downloads

88