{ "id": "1206.5576", "version": "v1", "published": "2012-06-25T05:35:20.000Z", "updated": "2012-06-25T05:35:20.000Z", "title": "Periodic points of Ruelle-expanding maps", "authors": [ "Maria Carvalho", "Mário Alexandre Magalhães" ], "comment": "arXiv admin note: substantial text overlap with arXiv:1012.5315", "categories": [ "math.DS" ], "abstract": "We prove that, for a Ruelle-expanding map, the zeta function is rational and the topological entropy is equal to the exponential growth rate of the periodic points.", "revisions": [ { "version": "v1", "updated": "2012-06-25T05:35:20.000Z" } ], "analyses": { "keywords": [ "periodic points", "ruelle-expanding map", "exponential growth rate", "zeta function" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1206.5576C" } } }