Dynamics of transcendental hÉnon maps III: Infinite entropy
Peer reviewed, Journal article
Accepted version
Åpne
Permanent lenke
https://hdl.handle.net/11250/2987544Utgivelsesdato
2021Metadata
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- Institutt for matematiske fag [2434]
- Publikasjoner fra CRIStin - NTNU [37962]
Sammendrag
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.