{ "id": "1206.0802", "version": "v1", "published": "2012-06-05T00:39:40.000Z", "updated": "2012-06-05T00:39:40.000Z", "title": "Smale Spaces via Inverse Limits", "authors": [ "Susana Wieler" ], "comment": "26 pages, 7 figures, summary of PhD thesis", "categories": [ "math.DS" ], "abstract": "A Smale space is a chaotic dynamical system with canonical coordinates of contracting and expanding directions. The basic sets for Smale's Axiom A systems are a key class of examples. We consider the special case of irreducible Smale spaces with zero dimensional contracting directions, and characterize these as stationary inverse limits satisfying certain conditions.", "revisions": [ { "version": "v1", "updated": "2012-06-05T00:39:40.000Z" } ], "analyses": { "subjects": [ "37D20" ], "keywords": [ "zero dimensional contracting directions", "basic sets", "stationary inverse limits satisfying", "chaotic dynamical system", "special case" ], "tags": [ "dissertation" ], "publication": { "journal": "Ph.D. Thesis", "year": 2012 }, "note": { "typesetting": "TeX", "pages": 26, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012PhDT........10W" } } }