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dc.contributor.authorArosio, Leandro
dc.contributor.authorBenini, Anna Miriam
dc.contributor.authorFornæss, John Erik
dc.contributor.authorPeters, Han
dc.date.accessioned2020-03-16T14:45:52Z
dc.date.available2020-03-16T14:45:52Z
dc.date.created2020-01-21T16:27:27Z
dc.date.issued2019
dc.identifier.citationMathematische Annalen. 2019, 373 (1-2), 853-894.nb_NO
dc.identifier.issn0025-5831
dc.identifier.urihttp://hdl.handle.net/11250/2647041
dc.description.abstractThe 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.isoengnb_NO
dc.publisherSpringernb_NO
dc.rightsNavngivelse 4.0 Internasjonal*
dc.rightsNavngivelse 4.0 Internasjonal*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/deed.no*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/deed.no*
dc.titleDynamics of transcendental Henon mapsnb_NO
dc.typeJournal articlenb_NO
dc.typePeer reviewednb_NO
dc.description.versionpublishedVersionnb_NO
dc.source.pagenumber853-894nb_NO
dc.source.volume373nb_NO
dc.source.journalMathematische Annalennb_NO
dc.source.issue1-2nb_NO
dc.identifier.doi10.1007/s00208-018-1643-6
dc.identifier.cristin1779440
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.unitcode194,63,15,0
cristin.unitnameInstitutt for matematiske fag
cristin.ispublishedtrue
cristin.fulltextpreprint
cristin.qualitycode2


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