{ "id": "1010.4914", "version": "v3", "published": "2010-10-23T21:39:55.000Z", "updated": "2012-02-28T15:41:05.000Z", "title": "Concentration inequalities for disordered models", "authors": [ "Frederique Watbled" ], "comment": "Revised version", "journal": "ALEA, Lat. Am. J. Probab. Math. Stat. 9, 129--140 (2012)", "categories": [ "math.PR" ], "abstract": "We use a generalization of Hoeffding's inequality to show concentration results for the free energy of disordered pinning models, assuming only that the disorder has a finite exponential moment. We also prove some concentration inequalities for directed polymers in random environment, which we use to establish a large deviations results for the end position of the polymer under the polymer measure.", "revisions": [ { "version": "v3", "updated": "2012-02-28T15:41:05.000Z" } ], "analyses": { "keywords": [ "concentration inequalities", "disordered models", "finite exponential moment", "large deviations results", "concentration results" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1010.4914W" } } }