Transport proofs of some functional inverse Santaló inequalities - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year :

Transport proofs of some functional inverse Santaló inequalities

(1) , (2) , (2)
1
2

Abstract

In this paper, we present a simple proof of a recent result of the second author which establishes that functional inverse-Santaló inequalities follow from Entropy-Transport inequalities. Then, using transport arguments together with elementary correlation inequalities, we prove these sharp Entropy-Transport inequalities in dimension 1. We also revisit the proof of the functional inverse-Santaló inequalities in the n dimensional unconditional case using these ideas.
Fichier principal
Vignette du fichier
main.pdf (258.35 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-03284636 , version 1 (12-07-2021)
hal-03284636 , version 2 (02-09-2021)
hal-03284636 , version 3 (08-09-2021)

Identifiers

Cite

Matthieu Fradelizi, Nathael Gozlan, Simon Zugmeyer. Transport proofs of some functional inverse Santaló inequalities. 2021. ⟨hal-03284636v3⟩
103 View
88 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More