{ "id": "1803.00093", "version": "v1", "published": "2018-02-28T21:24:46.000Z", "updated": "2018-02-28T21:24:46.000Z", "title": "Divergent on average directions of Teichmuller geodesic flow", "authors": [ "Paul Apisa", "Howard Masur" ], "comment": "15 pages. Comments welcome!", "categories": [ "math.DS", "math.GT" ], "abstract": "The set of directions from a quadratic differential that diverge on average under Teichmuller geodesic flow has Hausdorff dimension exactly equal to one-half.", "revisions": [ { "version": "v1", "updated": "2018-02-28T21:24:46.000Z" } ], "analyses": { "keywords": [ "teichmuller geodesic flow", "average directions", "hausdorff dimension exactly equal", "quadratic differential" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable" } } }