{ "id": "math/0502098", "version": "v2", "published": "2005-02-04T18:16:18.000Z", "updated": "2012-09-23T15:09:44.000Z", "title": "On large deviations in the averaging principle for SDE's with a \"full dependence\", correction", "authors": [ "Alexander Yu. Veretennikov" ], "comment": "27 pages", "journal": "Discrete and Continuous Dynamical Systems ser. B, 2013. V. 18. No. 2. P. 523-549", "doi": "10.3934/dcdsb.2013.18.523", "categories": [ "math.PR" ], "abstract": "We establish the large deviation principle for stochastic differential equations with averaging in the case when all coefficients of the fast component depend on the slow one, including diffusion.", "revisions": [ { "version": "v2", "updated": "2012-09-23T15:09:44.000Z" } ], "analyses": { "subjects": [ "60F10", "60J60" ], "keywords": [ "full dependence", "averaging principle", "correction", "large deviation principle", "stochastic differential equations" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 27, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005math......2098V" } } }