dc.contributor.author | Arosio, Leandro | |
dc.contributor.author | Benini, Anna Miriam | |
dc.contributor.author | Fornæss, John Erik | |
dc.contributor.author | Peters, Han | |
dc.date.accessioned | 2020-03-16T14:45:52Z | |
dc.date.available | 2020-03-16T14:45:52Z | |
dc.date.created | 2020-01-21T16:27:27Z | |
dc.date.issued | 2019 | |
dc.identifier.citation | Mathematische Annalen. 2019, 373 (1-2), 853-894. | nb_NO |
dc.identifier.issn | 0025-5831 | |
dc.identifier.uri | http://hdl.handle.net/11250/2647041 | |
dc.description.abstract | The dynamics of transcendental functions in the complex plane has received a significant amount of attention. In particular much is known about the description of Fatou components. Besides the types of periodic Fatou components that can occur for polynomials, there also exist so-called Baker domains, periodic components where all orbits converge to infinity, as well as wandering domains. In trying to find analogues of these one dimensional results, it is not clear which higher dimensional transcendental maps to consider. In this paper we find inspiration from the extensive work on the dynamics of complex Hénon maps. We introduce the family of transcendental Hénon maps, and study their dynamics, emphasizing the description of Fatou components. We prove that the classification of the recurrent invariant Fatou components is similar to that of polynomial Hénon maps, and we give examples of Baker domains and wandering domains. | nb_NO |
dc.language.iso | eng | nb_NO |
dc.publisher | Springer | nb_NO |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.title | Dynamics of transcendental Henon maps | nb_NO |
dc.type | Journal article | nb_NO |
dc.type | Peer reviewed | nb_NO |
dc.description.version | publishedVersion | nb_NO |
dc.source.pagenumber | 853-894 | nb_NO |
dc.source.volume | 373 | nb_NO |
dc.source.journal | Mathematische Annalen | nb_NO |
dc.source.issue | 1-2 | nb_NO |
dc.identifier.doi | 10.1007/s00208-018-1643-6 | |
dc.identifier.cristin | 1779440 | |
dc.description.localcode | © The Author(s) 2018. This article is an open access publication. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/) | nb_NO |
cristin.unitcode | 194,63,15,0 | |
cristin.unitname | Institutt for matematiske fag | |
cristin.ispublished | true | |
cristin.fulltext | preprint | |
cristin.qualitycode | 2 | |