{ "id": "0905.0305", "version": "v3", "published": "2009-05-04T02:52:20.000Z", "updated": "2010-11-21T16:30:31.000Z", "title": "Transitivity of generic semigroups of area-preserving surface diffeomorphisms", "authors": [ "Andres Koropecki", "Meysam Nassiri" ], "comment": "14 pages. This version fills a gap in our argument (incorporates changes from the corrigendum to the original article, to appear in Math. Z.)", "journal": "Math Z., 266 (3), pp. 707-718 (2010)", "doi": "10.1007/s00209-009-0595-7", "categories": [ "math.DS" ], "abstract": "We prove that the action of the semigroup generated by a $C^r$ generic pair of area-preserving diffeomorphisms of a compact orientable surface is transitive.", "revisions": [ { "version": "v3", "updated": "2010-11-21T16:30:31.000Z" } ], "analyses": { "subjects": [ "37B05", "57S05" ], "keywords": [ "area-preserving surface diffeomorphisms", "generic semigroups", "transitivity", "generic pair" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0905.0305K" } } }