{ "id": "1409.3470", "version": "v1", "published": "2014-09-11T15:13:18.000Z", "updated": "2014-09-11T15:13:18.000Z", "title": "Entropy, pseudo-orbit tracing property and positively expansive measures", "authors": [ "C. A. Morales" ], "comment": "6 pages", "categories": [ "math.DS" ], "abstract": "We study homeomorphisms of compact metric spaces whose restriction to the nonwandering set has the pseudo-orbit tracing property. We prove that if there are positively expansive measures, then the topological entropy is positive. Some short applications of this result are included.", "revisions": [ { "version": "v1", "updated": "2014-09-11T15:13:18.000Z" } ], "analyses": { "subjects": [ "37B40", "37B05" ], "keywords": [ "pseudo-orbit tracing property", "positively expansive measures", "compact metric spaces", "study homeomorphisms", "short applications" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1409.3470M" } } }