%0 Journal Article %T A survey of the Schr£¿dinger problem and some of its connections with optimal transport %A Christian L¨¦onard %J Mathematics %D 2013 %I arXiv %X This article is aimed at presenting the Schr\"odinger problem and some of its connections with optimal transport. We hope that it can be used as a basic user's guide to Schr\"odinger problem. We also give a survey of the related literature. In addition, some new results are proved. %U http://arxiv.org/abs/1308.0215v1