{ "id": "1805.11660", "version": "v1", "published": "2018-05-29T18:59:58.000Z", "updated": "2018-05-29T18:59:58.000Z", "title": "Notes on hyperbolic dynamics", "authors": [ "Semyon Dyatlov" ], "comment": "52 pages, 15 figures", "categories": [ "math.DS" ], "abstract": "These expository notes present a proof of the Stable/Unstable Manifold Theorem (also known as the Hadamard--Perron Theorem). They also give examples of hyperbolic dynamics: geodesic flows on surfaces of negative curvature and dispersing billiards.", "revisions": [ { "version": "v1", "updated": "2018-05-29T18:59:58.000Z" } ], "analyses": { "keywords": [ "hyperbolic dynamics", "geodesic flows", "expository notes", "hadamard-perron theorem", "stable/unstable manifold theorem" ], "note": { "typesetting": "TeX", "pages": 52, "language": "en", "license": "arXiv", "status": "editable" } } }