{ "id": "2002.11081", "version": "v1", "published": "2020-02-25T18:27:21.000Z", "updated": "2020-02-25T18:27:21.000Z", "title": "Lacunary series, resonances, and automorphisms of $\\mathbb{C}^2$ with a round Siegel domain", "authors": [ "Davoud Cheraghi", "Francois Berteloot" ], "comment": "9 pages, no figures,", "categories": [ "math.DS", "math.CV" ], "abstract": "We construct transcendental automorphims of $\\mathbb{C}^{2}$ having an unbounded and regular Siegel domain.", "revisions": [ { "version": "v1", "updated": "2020-02-25T18:27:21.000Z" } ], "analyses": { "subjects": [ "32H50", "32M05", "37F50" ], "keywords": [ "round siegel domain", "lacunary series", "resonances", "automorphisms" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable" } } }