{ "id": "1209.4202", "version": "v1", "published": "2012-09-19T10:20:11.000Z", "updated": "2012-09-19T10:20:11.000Z", "title": "Topological entropy and irregular recurrence", "authors": [ "Lenka Obadalova" ], "categories": [ "math.DS" ], "abstract": "This paper is devoted to problems stated by Z. Zhou and F. Li in 2009. They concern relations between almost periodic, weakly almost periodic, and quasi-weakly almost periodic points of a continuous map f and its topological entropy. The negative answer follows by our recent paper. But for continuous maps of the interval and other more general one-dimensional spaces we give more results; in some cases, the answer is positive.", "revisions": [ { "version": "v1", "updated": "2012-09-19T10:20:11.000Z" } ], "analyses": { "keywords": [ "topological entropy", "irregular recurrence", "continuous map", "general one-dimensional spaces", "periodic points" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1209.4202O" } } }