{ "id": "1312.4184", "version": "v2", "published": "2013-12-15T19:55:12.000Z", "updated": "2014-04-26T22:41:54.000Z", "title": "Hyperbolicity of renormalization of circle maps with a break-type singularity", "authors": [ "Konstantin Khanin", "Michael Yampolsky" ], "categories": [ "math.DS" ], "abstract": "We study the renormalization operator of circle homeomorphisms with a break point and show that it possesses a hyperbolic horseshoe attractor.", "revisions": [ { "version": "v2", "updated": "2014-04-26T22:41:54.000Z" } ], "analyses": { "subjects": [ "37E20", "37E10" ], "keywords": [ "circle maps", "break-type singularity", "hyperbolicity", "hyperbolic horseshoe attractor", "renormalization operator" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1312.4184K" } } }