{ "id": "1507.01123", "version": "v1", "published": "2015-07-04T16:02:29.000Z", "updated": "2015-07-04T16:02:29.000Z", "title": "Substitutions and Möbius disjointness", "authors": [ "S. Ferenczi", "J. Kułaga-Przymus", "M. Lemańczyk", "C. Mauduit" ], "comment": "26 pages", "categories": [ "math.DS" ], "abstract": "We show that Sarnak's conjecture on M\\\"obius disjointness holds for all subshifts given by bijective substitutions and some other similar dynamical systems, e.g.\\ those generated by Rudin-Shapiro type sequences.", "revisions": [ { "version": "v1", "updated": "2015-07-04T16:02:29.000Z" } ], "analyses": { "keywords": [ "möbius disjointness", "rudin-shapiro type sequences", "sarnaks conjecture", "disjointness holds", "similar dynamical systems" ], "note": { "typesetting": "TeX", "pages": 26, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150701123F" } } }