{ "id": "1601.06268", "version": "v1", "published": "2016-01-23T14:05:24.000Z", "updated": "2016-01-23T14:05:24.000Z", "title": "Hyperbolicity and Quasi-hyperbolicity in Polynomial Diffeomorphisms of ${\\Bbb C}^2$", "authors": [ "Eric Bedford", "John Smillie" ], "categories": [ "math.DS" ], "abstract": "We consider complex Henon maps which are quasi-hyperbolic. We show that a quasi-hyperbolic map is uniformly hyperbolic if and only if there are no tangencies between stable and unstable manifolds.", "revisions": [ { "version": "v1", "updated": "2016-01-23T14:05:24.000Z" } ], "analyses": { "subjects": [ "37C99", "37F99", "32H50" ], "keywords": [ "polynomial diffeomorphisms", "quasi-hyperbolicity", "complex henon maps", "quasi-hyperbolic map" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2016arXiv160106268B" } } }