{ "id": "1011.3171", "version": "v1", "published": "2010-11-14T01:03:46.000Z", "updated": "2010-11-14T01:03:46.000Z", "title": "Some advances on generic properties of the Oseledets splitting", "authors": [ "J. Rodriguez Hertz" ], "comment": "22 pages", "categories": [ "math.DS" ], "abstract": "In his foundational paper [ICM 1983, Warzaw], Ma\\~n\\'e suggested that some aspects of the Oseledets splitting could be improved if one worked under C1-generic conditions. He announced some powerful theorems, and suggested some lines to follow. Here we survey the state of the art and some recent advances in these directions.", "revisions": [ { "version": "v1", "updated": "2010-11-14T01:03:46.000Z" } ], "analyses": { "subjects": [ "37D25", "37D30" ], "keywords": [ "generic properties", "oseledets splitting", "foundational paper", "c1-generic conditions", "directions" ], "note": { "typesetting": "TeX", "pages": 22, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1011.3171R" } } }