| 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 | 2022-03-25T08:23:01Z | |
| dc.date.available | 2022-03-25T08:23:01Z | |
| dc.date.created | 2022-01-13T13:37:14Z | |
| dc.date.issued | 2021 | |
| dc.identifier.citation | Journal of Modern Dynamics. 2021, 17 465-479. | en_US |
| dc.identifier.issn | 1930-5311 | |
| dc.identifier.uri | https://hdl.handle.net/11250/2987544 | |
| dc.description.abstract | Very little is currently known about the dynamics of non-polynomial entire maps in several complex variables. The family of transcendental Hénon maps offers the potential of combining ideas from transcendental dynamics in one variable and the dynamics of polynomial Hénon maps in two. Here we show that these maps all have infinite topological and measure theoretic entropy. The proof also implies the existence of infinitely many periodic orbits of any order greater than two. | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | American Institute of Mathematical Sciences (AIMS) | en_US |
| dc.title | Dynamics of transcendental hÉnon maps III: Infinite entropy | en_US |
| dc.type | Peer reviewed | en_US |
| dc.type | Journal article | en_US |
| dc.description.version | acceptedVersion | en_US |
| dc.rights.holder | This is the authors' accepted manuscript to an article published by AIMS. The definitive publisher-authenticated version is available online at: http://dx.doi.org/10.3934/JMD.2021016 | en_US |
| dc.source.pagenumber | 465-479 | en_US |
| dc.source.volume | 17 | en_US |
| dc.source.journal | Journal of Modern Dynamics | en_US |
| dc.identifier.doi | 10.3934/JMD.2021016 | |
| dc.identifier.cristin | 1980467 | |
| cristin.ispublished | true | |
| cristin.fulltext | postprint | |
| cristin.qualitycode | 1 | |
