{ "id": "1312.3965", "version": "v1", "published": "2013-12-13T21:42:11.000Z", "updated": "2013-12-13T21:42:11.000Z", "title": "Comparison of quenched and annealed invariance principles for random conductance model: Part II", "authors": [ "Martin Barlow", "Krzysztof Burdzy", "Adám Timár" ], "categories": [ "math.PR" ], "abstract": "We show that there exists an ergodic conductance environment such that the weak (annealed) invariance principle holds for the corresponding continuous time random walk but the quenched invariance principle does not hold. In the present paper we give a proof of the full scaling limit for the weak invariance principle, improving the result in an earlier paper where we obtained a subsequential limit.", "revisions": [ { "version": "v1", "updated": "2013-12-13T21:42:11.000Z" } ], "analyses": { "subjects": [ "60K37" ], "keywords": [ "random conductance model", "annealed invariance principles", "comparison", "corresponding continuous time random walk", "ergodic conductance environment" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1312.3965B" } } }