{ "id": "1701.08601", "version": "v1", "published": "2017-01-30T14:07:36.000Z", "updated": "2017-01-30T14:07:36.000Z", "title": "On the stability of statistical properties for Lorenz attractors with a $C^{1+α}$ stable foliation", "authors": [ "Wael Bahsoun", "Marks Ruziboev" ], "categories": [ "math.DS" ], "abstract": "We prove statistical stability for a family of Lorenz attractors with a $C^{1+\\alpha}$ stable foliation. Moreover, we obtain robustness of the variance in the CLT for the corresponding 1-d maps.", "revisions": [ { "version": "v1", "updated": "2017-01-30T14:07:36.000Z" } ], "analyses": { "keywords": [ "lorenz attractors", "stable foliation", "statistical properties" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }