{ "id": "math/0102129", "version": "v1", "published": "2001-02-16T11:13:53.000Z", "updated": "2001-02-16T11:13:53.000Z", "title": "Renormalization theory for multimodal maps", "authors": [ "Daniel Smania" ], "comment": "37 pages, 4 figures", "categories": [ "math.DS" ], "abstract": "We study the dynamics of the renormalization operator for multimodal maps. In particular, we prove the exponential convergence of this operator for infinitely renormalizable maps with same bounded combinatorial type.", "revisions": [ { "version": "v1", "updated": "2001-02-16T11:13:53.000Z" } ], "analyses": { "subjects": [ "37F25", "37E10", "37F10" ], "keywords": [ "multimodal maps", "renormalization theory", "exponential convergence", "bounded combinatorial type" ], "note": { "typesetting": "TeX", "pages": 37, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2001math......2129S" } } }