{ "id": "1912.03377", "version": "v1", "published": "2019-12-06T22:43:06.000Z", "updated": "2019-12-06T22:43:06.000Z", "title": "Amenability and measure of maximal entropy for semigroups of rational maps", "authors": [ "Carlos Cabrera", "Peter Makienko" ], "comment": "30 pages", "categories": [ "math.DS", "math.CV" ], "abstract": "In this article we discuss relations between algebraic and dynamical properties of non-cyclic semigroups of rational maps.", "revisions": [ { "version": "v1", "updated": "2019-12-06T22:43:06.000Z" } ], "analyses": { "subjects": [ "37F10", "43A07" ], "keywords": [ "rational maps", "maximal entropy", "amenability", "non-cyclic semigroups" ], "note": { "typesetting": "TeX", "pages": 30, "language": "en", "license": "arXiv", "status": "editable" } } }