{ "id": "1104.0748", "version": "v3", "published": "2011-04-05T07:23:22.000Z", "updated": "2011-11-08T15:21:16.000Z", "title": "La conjecture de Herman", "authors": [ "Mauricio Garay" ], "categories": [ "math.DS" ], "abstract": "In the Nineties, Michel Herman conjectured the existence of a positive measure set of invariant tori at an elliptic diophatine critical point of a hamiltonian function. I construct a formalism for the UV-cutoff and prove a generalised KAM theorem which solves positively the Herman conjecture.", "revisions": [ { "version": "v3", "updated": "2011-11-08T15:21:16.000Z" } ], "analyses": { "keywords": [ "elliptic diophatine critical point", "invariant tori", "positive measure set", "hamiltonian function", "generalised kam theorem" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1104.0748G" } } }