{ "id": "2305.16977", "version": "v1", "published": "2023-05-26T14:34:09.000Z", "updated": "2023-05-26T14:34:09.000Z", "title": "Reducibility without KAM", "authors": [ "Fernando Argentieri", "Bassam Fayad" ], "categories": [ "math.DS", "math-ph", "math.MP", "math.SP" ], "abstract": "We prove rotations-reducibility for close to constant quasi-periodic $SL(2,\\mathbb{R})$ cocycles in one frequency in the finite regularity and smooth cases, and derive some applications to quasi-periodic Schr\\\"odinger operators.", "revisions": [ { "version": "v1", "updated": "2023-05-26T14:34:09.000Z" } ], "analyses": { "keywords": [ "constant quasi-periodic", "finite regularity", "smooth cases", "rotations-reducibility" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }