{ "id": "1208.5694", "version": "v1", "published": "2012-08-28T15:53:08.000Z", "updated": "2012-08-28T15:53:08.000Z", "title": "Linear cocycles over Lorenz-like flows", "authors": [ "Mohammad Fanaee" ], "comment": "14 pages", "categories": [ "math.DS" ], "abstract": "We prove that the Lyapunov exponents of typical fiber bunched linear cocycles over Lorenz-like flows have multiplicity one: the set of exceptional cocycles has infinite codimention, i.e. it is locally contained in finite unions of closed submanifolds with arbitrarily high codimension.", "revisions": [ { "version": "v1", "updated": "2012-08-28T15:53:08.000Z" } ], "analyses": { "keywords": [ "lorenz-like flows", "typical fiber bunched linear cocycles", "lyapunov exponents", "exceptional cocycles", "infinite codimention" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1208.5694F" } } }