{ "id": "1410.1202", "version": "v1", "published": "2014-10-05T19:44:43.000Z", "updated": "2014-10-05T19:44:43.000Z", "title": "Automorphisms of surfaces: Kummer rigidity and measure of maximal entropy", "authors": [ "Serge Cantat", "Christophe Dupont" ], "comment": "57 pages, 1 figure", "categories": [ "math.DS" ], "abstract": "We classify complex projective surfaces with an automorphism of positive entropy for which the unique invariant measure of maximal entropy is absolutely continuous with respect to Lebesgue measure.", "revisions": [ { "version": "v1", "updated": "2014-10-05T19:44:43.000Z" } ], "analyses": { "keywords": [ "maximal entropy", "kummer rigidity", "automorphism", "unique invariant measure", "lebesgue measure" ], "note": { "typesetting": "TeX", "pages": 57, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1410.1202C" } } }