{ "id": "math/0609362", "version": "v2", "published": "2006-09-13T17:54:59.000Z", "updated": "2006-09-21T18:13:57.000Z", "title": "A survey on partially hyperbolic dynamics", "authors": [ "F. Rodriguez Hertz", "M. A. Rodriguez Hertz", "R. Ures" ], "comment": "57 pages, references added", "categories": [ "math.DS" ], "abstract": "Some of the guiding problems in partially hyperbolic systems are the following: (1) Examples, (2) Properties of invariant foliations, (3) Accessibility, (4) Ergodicity, (5) Lyapunov exponents, (6) Integrability of central foliations, (7) Transitivity and (8) Classification. Here we will survey the state of the art on these subjects, and propose related problems.", "revisions": [ { "version": "v2", "updated": "2006-09-21T18:13:57.000Z" } ], "analyses": { "subjects": [ "37D30", "37A25" ], "keywords": [ "partially hyperbolic dynamics", "central foliations", "partially hyperbolic systems", "lyapunov exponents", "invariant foliations" ], "note": { "typesetting": "TeX", "pages": 57, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math......9362R" } } }