arXiv:0810.5435 Abstract | arXiv Analytics

arXiv:0810.5435 [math.PR]Abstract References Reviews Resources

A note on Talagrand's transportation inequality and logarithmic Sobolev inequality

Patrick Cattiaux, Arnaud Guillin, Liming Wu

Published 2008-10-30Version 1

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.

Categories: math.PR, math.FA

Subjects: 26D10, 47D07, 60G10, 60J60

Keywords: logarithmic sobolev inequality, talagrands transportation inequality, talagrands transportation information inequality, simple arguments sufficient conditions, sufficient conditions work

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