{ "id": "1003.3852", "version": "v1", "published": "2010-03-19T17:59:17.000Z", "updated": "2010-03-19T17:59:17.000Z", "title": "Transport Inequalities. A Survey", "authors": [ "Nathael Gozlan", "Christian Léonard" ], "comment": "Proceedings of the conference Inhomogeneous Random Systems 2009; 82 pages.", "journal": "Markov Processes and Related Fields 16 (2010) 635-736", "categories": [ "math.PR", "math.FA" ], "abstract": "This is a survey of recent developments in the area of transport inequalities. We investigate their consequences in terms of concentration and deviation inequalities and sketch their links with other functional inequalities and also large deviation theory.", "revisions": [ { "version": "v1", "updated": "2010-03-19T17:59:17.000Z" } ], "analyses": { "subjects": [ "26D10", "60E15" ], "keywords": [ "transport inequalities", "large deviation theory", "deviation inequalities", "functional inequalities" ], "tags": [ "conference paper", "journal article" ], "note": { "typesetting": "TeX", "pages": 82, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1003.3852G" } } }