{ "id": "1503.05231", "version": "v1", "published": "2015-03-17T21:47:02.000Z", "updated": "2015-03-17T21:47:02.000Z", "title": "Geometric characterization of Lyapunov exponents for Riemann surface laminations", "authors": [ "Viet-Anh Nguyen" ], "comment": "35 pages", "categories": [ "math.DS", "math.CV", "math.GT" ], "abstract": "We characterize geometrically the Lyapunov exponents of a cocycle with respect to a harmonic current defined on a hyperbolic Riemann surface lamination. Our characterizations are formulated in terms of the expansion rates of the cocycle along geodesic rays.", "revisions": [ { "version": "v1", "updated": "2015-03-17T21:47:02.000Z" } ], "analyses": { "subjects": [ "37A30", "57R30", "58J35", "58J65", "60J65" ], "keywords": [ "lyapunov exponents", "geometric characterization", "hyperbolic riemann surface lamination", "geodesic rays", "expansion rates" ], "note": { "typesetting": "TeX", "pages": 35, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150305231N" } } }