{ "id": "2411.07673", "version": "v1", "published": "2024-11-12T09:40:16.000Z", "updated": "2024-11-12T09:40:16.000Z", "title": "Real almost reducibility of differentiable real quasi-periodic cocycles", "authors": [ "Maxime Chatal", "Claire Chavaudret", "L. Hakan Eliasson" ], "categories": [ "math.DS" ], "abstract": "We prove that infinitely differentiable almost reducible quasi-periodic cocycles, under a Diophantine condition on the frequency vector, are almost reducible to a sequence of real constant cocycles with a sequence of real conjugations, up to a period doubling.", "revisions": [ { "version": "v1", "updated": "2024-11-12T09:40:16.000Z" } ], "analyses": { "keywords": [ "differentiable real quasi-periodic cocycles", "reducibility", "real constant cocycles", "reducible quasi-periodic cocycles", "frequency vector" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }