{ "id": "1606.02357", "version": "v1", "published": "2016-06-07T23:52:33.000Z", "updated": "2016-06-07T23:52:33.000Z", "title": "Mobius disjointness for interval exchange transformations on three intervals", "authors": [ "Jon Chaika", "Alex Eskin" ], "comment": "32 pages, 3 figures", "categories": [ "math.DS", "math.NT" ], "abstract": "We show that Sarnak's conjecture on Mobius disjointness holds for interval exchange transformations on three intervals (3-IETs) that satisfy a mild diophantine condition.", "revisions": [ { "version": "v1", "updated": "2016-06-07T23:52:33.000Z" } ], "analyses": { "subjects": [ "37A45", "37E05" ], "keywords": [ "interval exchange transformations", "mobius disjointness holds", "mild diophantine condition", "sarnaks conjecture" ], "note": { "typesetting": "TeX", "pages": 32, "language": "en", "license": "arXiv", "status": "editable" } } }