English

Bounds on the deficit in the logarithmic Sobolev inequality

Probability 2014-08-12 v1 Functional Analysis

Abstract

The de cit in the logarithmic Sobolev inequality for the Gaussian measure is considered and estimated by means of transport and information-theoretic distances.

Keywords

Cite

@article{arxiv.1408.2115,
  title  = {Bounds on the deficit in the logarithmic Sobolev inequality},
  author = {Sergey Bobkov and Nathael Gozlan and Cyril Roberto and Paul-Marie Samson},
  journal= {arXiv preprint arXiv:1408.2115},
  year   = {2014}
}