A note on Talagrand's transportation inequality and logarithmic Sobolev inequality
Probability
2008-10-31 v1 Functional Analysis
Abstract
We give by simple arguments sufficient conditions, so called Lyapunov conditions, for Talagrand's transportation information inequality and for the logarithmic Sobolev inequality. Those sufficient conditions work even in the case where the Bakry-Emery curvature is not lower bounded. Several new examples are provided.
Keywords
Cite
@article{arxiv.0810.5435,
title = {A note on Talagrand's transportation inequality and logarithmic Sobolev inequality},
author = {Patrick Cattiaux and Arnaud Guillin and Liming Wu},
journal= {arXiv preprint arXiv:0810.5435},
year = {2008}
}