{ "id": "math/0612209", "version": "v2", "published": "2006-12-08T05:49:21.000Z", "updated": "2007-09-04T12:29:33.000Z", "title": "Sinai's walk: a statistical aspect", "authors": [ "Pierre Andreoletti" ], "categories": [ "math.PR" ], "abstract": "We consider Sinai's random walk in random environment. We prove that the logarithm of the local time is a good estimator of the random potential associated to the random environment. We give a constructive method allowing us to built the random environment from a single trajectory of the random walk.", "revisions": [ { "version": "v2", "updated": "2007-09-04T12:29:33.000Z" } ], "analyses": { "subjects": [ "60G50", "60J55", "62G05" ], "keywords": [ "sinais walk", "statistical aspect", "random environment", "sinais random walk", "local time" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math.....12209A" } } }