{ "id": "math/0508054", "version": "v2", "published": "2005-08-02T18:31:04.000Z", "updated": "2005-08-12T10:16:09.000Z", "title": "A necessary condition for the uniqueness of the stationary state of a Markov system", "authors": [ "Ivan Werner" ], "categories": [ "math.PR", "math.DS" ], "abstract": "We continue the study of Markov systems started in \\cite{Wer1}. In this paper, we prove a generalization of Breiman's strong low of large numbers \\cite{Br} which implies a necessary condition for the uniqueness of the stationary state of a Markov system.", "revisions": [ { "version": "v2", "updated": "2005-08-12T10:16:09.000Z" } ], "analyses": { "keywords": [ "stationary state", "necessary condition", "uniqueness", "breimans strong low", "large numbers" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005math......8054W" } } }