{ "id": "2310.19363", "version": "v2", "published": "2023-10-30T09:03:27.000Z", "updated": "2023-11-07T15:21:15.000Z", "title": "Notes on any given number of non-hyperbolic physical measures of some partially hyperbolic diffeomorphism", "authors": [ "Hangyue Zhang" ], "categories": [ "math.DS", "math-ph", "math.MP" ], "abstract": "In this paper, we provide an example of a partially hyperbolic diffeomorphism with any finite number of physical measures when some Lyapunov exponent is 0 on the center.", "revisions": [ { "version": "v2", "updated": "2023-11-07T15:21:15.000Z" } ], "analyses": { "keywords": [ "partially hyperbolic diffeomorphism", "non-hyperbolic physical measures", "finite number", "lyapunov exponent" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }