{ "id": "math/0506474", "version": "v1", "published": "2005-06-23T12:20:31.000Z", "updated": "2005-06-23T12:20:31.000Z", "title": "Examples of quasi-hyperbolic dynamical systems with slow decay of correlations", "authors": [ "Stephane Le Borgne" ], "categories": [ "math.DS", "math.PR" ], "abstract": "We give examples of quasi-hyperbolic dynamical systems with the following properties : polynomial decay of correlations, convergence in law toward a non gaussian law of the ergodic sums (divided by $n^{3/4}$) associated to non degenerated regular functions.", "revisions": [ { "version": "v1", "updated": "2005-06-23T12:20:31.000Z" } ], "analyses": { "subjects": [ "37D30" ], "keywords": [ "quasi-hyperbolic dynamical systems", "slow decay", "correlations", "non degenerated regular functions", "non gaussian law" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005math......6474L" } } }