{ "id": "1805.11167", "version": "v1", "published": "2018-05-28T20:39:07.000Z", "updated": "2018-05-28T20:39:07.000Z", "title": "Self-Joinings for 3-IETs", "authors": [ "Jon Chaika", "Alex Eskin" ], "comment": "24 pages, 3 figures", "categories": [ "math.DS" ], "abstract": "We show that typical interval exchange transformations on three intervals are not 2-simple answering a question of Veech. Moreover, the set of self-joinings of almost every 3-IET is a Paulsen simplex.", "revisions": [ { "version": "v1", "updated": "2018-05-28T20:39:07.000Z" } ], "analyses": { "subjects": [ "37E05" ], "keywords": [ "self-joinings", "typical interval exchange transformations", "paulsen simplex" ], "note": { "typesetting": "TeX", "pages": 24, "language": "en", "license": "arXiv", "status": "editable" } } }