{ "id": "2103.03058", "version": "v1", "published": "2021-03-04T14:33:21.000Z", "updated": "2021-03-04T14:33:21.000Z", "title": "Monotonicity of the over-rotation intervals for bimodal maps", "authors": [ "Sourav Bhattacharya", "Alexander Blokh" ], "categories": [ "math.DS" ], "abstract": "We show that the connectedness of the set of parameters for which the over-rotation interval of a bimodal interval map is constant. In other words, the over-rotation interval is a monotone function of a bimodal interval map.", "revisions": [ { "version": "v1", "updated": "2021-03-04T14:33:21.000Z" } ], "analyses": { "keywords": [ "over-rotation interval", "bimodal maps", "bimodal interval map", "monotonicity" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }