English

An interpolation proof of Ehrhard's inequality

Probability 2016-05-25 v1

Abstract

We prove Ehrhard's inequality using interpolation along the Ornstein-Uhlenbeck semi-group. We also provide an improved Jensen inequality for Gaussian variables that might be of independent interest.

Keywords

Cite

@article{arxiv.1605.07233,
  title  = {An interpolation proof of Ehrhard's inequality},
  author = {Joe Neeman and Grigoris Paouris},
  journal= {arXiv preprint arXiv:1605.07233},
  year   = {2016}
}

Comments

15 pages

R2 v1 2026-06-22T14:07:44.612Z