{ "id": "2408.01474", "version": "v1", "published": "2024-08-02T04:56:45.000Z", "updated": "2024-08-02T04:56:45.000Z", "title": "Generic hyperbolic Mañé sets have zero entropy", "authors": [ "Gonzalo Contreras" ], "comment": "arXiv admin note: text overlap with arXiv:2408.01009", "categories": [ "math.DS" ], "abstract": "We prove that in the $C^k$ topology generic hyperbolic Ma\\~n\\'e sets have zero topological entropy.", "revisions": [ { "version": "v1", "updated": "2024-08-02T04:56:45.000Z" } ], "analyses": { "subjects": [ "37J51", "37D20" ], "keywords": [ "zero entropy", "topology generic hyperbolic", "zero topological entropy" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }