{ "id": "1303.5992", "version": "v1", "published": "2013-03-24T21:02:34.000Z", "updated": "2013-03-24T21:02:34.000Z", "title": "Equidistribution for meromorphic maps with dominant topological degree", "authors": [ "Tien-Cuong Dinh", "Viet-Anh Nguyen", "Tuyen Trung Truong" ], "comment": "24 pages", "categories": [ "math.DS", "math.CV" ], "abstract": "Let f be a meromorphic self-map on a compact Kaehler manifold whose topological degree is strictly larger than the other dynamical degrees. We show that repelling periodic points are equidistributed with respect to the equilibrium measure of f. We also describe the exceptional set of points whose backward orbits are not equidistributed.", "revisions": [ { "version": "v1", "updated": "2013-03-24T21:02:34.000Z" } ], "analyses": { "subjects": [ "37F10", "32U40", "32H50" ], "keywords": [ "dominant topological degree", "meromorphic maps", "equidistribution", "compact kaehler manifold", "exceptional set" ], "note": { "typesetting": "TeX", "pages": 24, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1303.5992D" } } }