A note on Talagrand's transportation inequality and logarithmic Sobolev   inequality
  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. 
Patrick Cattiaux (LSProba), Arnaud Guillin, Liming Wu