{ "id": "1909.01586", "version": "v1", "published": "2019-09-04T07:26:35.000Z", "updated": "2019-09-04T07:26:35.000Z", "title": "Random Almost Periodic Solutions of Random Dynamical Systems", "authors": [ "Weili Zhang", "Zuo-Huan Zheng" ], "categories": [ "math.DS" ], "abstract": "In this paper, we first give the definition of random almost periodic solutions of random dynamical systems and give some examples. Then, we prove the existence of such random almost periodic solutions. Further, we introduce the definition of random almost periodic measure. Finally, we discuss the relationship between random almost periodic solutions and almost periodic measures.", "revisions": [ { "version": "v1", "updated": "2019-09-04T07:26:35.000Z" } ], "analyses": { "subjects": [ "37H05", "28D10", "60G17" ], "keywords": [ "periodic solutions", "random dynamical systems", "periodic measure", "definition" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }