{ "id": "2010.01602", "version": "v1", "published": "2020-10-04T15:25:29.000Z", "updated": "2020-10-04T15:25:29.000Z", "title": "On the ergodic properties of time changes of partially hyperbolic homogeneous flows", "authors": [ "Changguang Dong" ], "categories": [ "math.DS" ], "abstract": "For any accessible partially hyperbolic homogeneous flow, we show that all smooth time changes are K and hence mixing of all orders. We also establish stable ergodicity for time-one map of these time changes.", "revisions": [ { "version": "v1", "updated": "2020-10-04T15:25:29.000Z" } ], "analyses": { "keywords": [ "ergodic properties", "smooth time changes", "accessible partially hyperbolic homogeneous flow", "time-one map", "stable ergodicity" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }