%0 Journal Article %T Bounds on the deficit in the logarithmic Sobolev inequality %A Sergey Bobkov %A Nathael Gozlan %A Cyril Roberto %A Paul-Marie Samson %J Mathematics %D 2014 %I arXiv %X The de cit in the logarithmic Sobolev inequality for the Gaussian measure is considered and estimated by means of transport and information-theoretic distances. %U http://arxiv.org/abs/1408.2115v1