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

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

2008-10-30

arxiv.org/abs/0810.5435v1

Mathematics

Probability

Scientific paper

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.

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