A journey with the integrated $\gamma$2 criterion and its weak forms
Functional Analysis
2022-01-20 v1 Probability
Abstract
As the title indicates this paper will describe several extensions and applications of the 2 integrated criterion introduced by M. Ledoux following ideas of B. Hellffer. We introduce general weak versions and show that they are equivalent to the weak Poincar{\'e} inequalities introduced by M. R{\"o}ckner and F. Y. Wang. We also discuss special weak versions appropriate to the study of log-concave measures and log-concave perturbations of product measures.
Cite
@article{arxiv.2201.07475,
title = {A journey with the integrated $\gamma$2 criterion and its weak forms},
author = {Patrick Cattiaux and Arnaud Guillin},
journal= {arXiv preprint arXiv:2201.07475},
year = {2022}
}