{ "id": "2003.07551", "version": "v1", "published": "2020-03-17T06:11:47.000Z", "updated": "2020-03-17T06:11:47.000Z", "title": "Mixing rates for symplectic almost Anosov maps", "authors": [ "Peyman Eslami", "Carlangelo Liverani" ], "categories": [ "math.DS" ], "abstract": "We establish sharp bounds on the mixing rates of a class of two dimensional non-uniformly hyperbolic symplectic maps. This provides a primer on how to investigate such questions in a concrete example and, at the same time, it solves a controversy between previous rigorous results and numerical experiments.", "revisions": [ { "version": "v1", "updated": "2020-03-17T06:11:47.000Z" } ], "analyses": { "keywords": [ "mixing rates", "anosov maps", "dimensional non-uniformly hyperbolic symplectic maps", "establish sharp bounds", "concrete example" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }