{ "id": "0809.2340", "version": "v2", "published": "2008-09-13T14:22:44.000Z", "updated": "2009-06-19T02:27:26.000Z", "title": "Two-dimensional Blaschke Products: Degree growth and ergodic consequences", "authors": [ "Enrique R. Pujals", "Roland K. W. Roeder" ], "comment": "Revised version: now contains computation of dynamical degree for all 2d Blaschke Products. Also fixed various errors", "categories": [ "math.DS" ], "abstract": "We study the dynamics of Blaschke products in two dimensions, particularly the rates of growth of the degrees of iterates and the corresponding implications for the ergodic properties of the map.", "revisions": [ { "version": "v2", "updated": "2009-06-19T02:27:26.000Z" } ], "analyses": { "subjects": [ "37F10", "37B40", "32H20" ], "keywords": [ "two-dimensional blaschke products", "degree growth", "ergodic consequences", "ergodic properties", "dimensions" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0809.2340P" } } }