{ "id": "1701.04139", "version": "v1", "published": "2017-01-16T01:48:21.000Z", "updated": "2017-01-16T01:48:21.000Z", "title": "An application of lattice points counting to shrinking target problems", "authors": [ "Dmitry Kleinbock", "Xi Zhao" ], "comment": "16 pages", "categories": [ "math.DS" ], "abstract": "We apply lattice points counting results of Gorodnik and Nevo to solve a shrinking target problem in the setting of geodesic flows on hyperbolic manifolds of finite volume.", "revisions": [ { "version": "v1", "updated": "2017-01-16T01:48:21.000Z" } ], "analyses": { "subjects": [ "37D40" ], "keywords": [ "shrinking target problem", "application", "apply lattice points counting results", "geodesic flows", "finite volume" ], "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable" } } }