{ "id": "0707.0813", "version": "v3", "published": "2007-07-05T15:34:15.000Z", "updated": "2008-12-28T12:46:01.000Z", "title": "Large Deviations Principle for Self-Intersection Local Times for random walk in dimension d>4", "authors": [ "Amine Asselah" ], "comment": "45 pages, 2 figures, thorough revision", "categories": [ "math.PR" ], "abstract": "We obtain a large deviations principle for the self-intersection local times for a symmetric random walk in dimension d>4. As an application, we obtain moderate deviations for random walk in random sceneries in some region of parameters.", "revisions": [ { "version": "v3", "updated": "2008-12-28T12:46:01.000Z" } ], "analyses": { "subjects": [ "60K35", "82C22", "60J25" ], "keywords": [ "large deviations principle", "self-intersection local times", "symmetric random walk", "moderate deviations", "random sceneries" ], "note": { "typesetting": "TeX", "pages": 45, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0707.0813A" } } }