{ "id": "0803.2006", "version": "v2", "published": "2008-03-13T16:38:39.000Z", "updated": "2009-01-23T09:02:59.000Z", "title": "Constants of concentration for a simple recurrent random walk on random environment", "authors": [ "Pierre Andreoletti" ], "categories": [ "math.PR" ], "abstract": "We clarify the asymptotic of the limsup of the size of the neighborhood of concentration of Sinai's walk improving the result in \\cite{Pierre3}. Also we get the almost sure limit of the number of points visited more than a small but fixed proportion of a given amount of time.", "revisions": [ { "version": "v2", "updated": "2009-01-23T09:02:59.000Z" } ], "analyses": { "subjects": [ "60G50", "60J55" ], "keywords": [ "simple recurrent random walk", "random environment", "concentration", "sure limit", "neighborhood" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0803.2006A" } } }