{ "id": "1001.1822", "version": "v2", "published": "2010-01-12T08:58:54.000Z", "updated": "2010-01-13T09:35:00.000Z", "title": "Functional Inequalities via Lyapunov conditions", "authors": [ "Patrick Cattiaux", "Arnaud Guillin" ], "categories": [ "math.PR", "math.FA" ], "abstract": "We review here some recent results by the authors, and various coauthors, on (weak,super) Poincar\\'e inequalities, transportation-information inequalities or logarithmic Sobolev inequality via a quite simple and efficient technique: Lyapunov conditions.", "revisions": [ { "version": "v2", "updated": "2010-01-13T09:35:00.000Z" } ], "analyses": { "subjects": [ "26D10", "47D07", "60G10", "60J60" ], "keywords": [ "lyapunov conditions", "functional inequalities", "logarithmic sobolev inequality", "efficient technique", "poincare inequalities" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1001.1822C" } } }