{ "id": "2007.06243", "version": "v1", "published": "2020-07-13T08:50:42.000Z", "updated": "2020-07-13T08:50:42.000Z", "title": "Stochastic stability for partially hyperbolic diffeomorphisms with mostly expanding and contracting centers", "authors": [ "Zeya Mi" ], "categories": [ "math.DS" ], "abstract": "We prove the stochastic stability of an open class of partially hyperbolic diffeomorphisms, each of which admits two centers $E^c_1$ and $E^c_2$ such that any Gibbs $u$-state admits only positive (resp. negative) Lyapunov exponents along $E^c_1$ (resp. $E^c_2$).", "revisions": [ { "version": "v1", "updated": "2020-07-13T08:50:42.000Z" } ], "analyses": { "subjects": [ "37C40", "37D25", "37D30" ], "keywords": [ "partially hyperbolic diffeomorphisms", "stochastic stability", "contracting centers", "open class", "state admits" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }