{ "id": "1805.04769", "version": "v1", "published": "2018-05-12T19:42:50.000Z", "updated": "2018-05-12T19:42:50.000Z", "title": "Self-similarity of bubbles", "authors": [ "Nataliya Goncharuk" ], "categories": [ "math.DS" ], "abstract": "Bubbles is a fractal-like set related to a circle diffeomorphism; they are a complex analogue to Arnold tongues. In this article, we prove an approximate self-similarity of bubbles.", "revisions": [ { "version": "v1", "updated": "2018-05-12T19:42:50.000Z" } ], "analyses": { "subjects": [ "37E10", "37E45" ], "keywords": [ "arnold tongues", "approximate self-similarity", "circle diffeomorphism", "complex analogue" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }