{ "id": "2110.01507", "version": "v2", "published": "2021-10-04T15:23:55.000Z", "updated": "2022-02-23T07:47:19.000Z", "title": "Semigroups of rational functions: some problems and conjectures", "authors": [ "Fedor Pakovich" ], "comment": "arXiv admin note: text overlap with arXiv:2008.12194", "categories": [ "math.DS", "math.CV" ], "abstract": "We formulate some problems and conjectures about semigroups of rational functions under composition. The considered problems arise in different contexts, but most of them are united by a certain relationship to the concept of amenability.", "revisions": [ { "version": "v2", "updated": "2022-02-23T07:47:19.000Z" } ], "analyses": { "keywords": [ "rational functions", "semigroups", "conjectures" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }