• Dynamics of transcendental Henon maps 

      Arosio, Leandro; Benini, Anna Miriam; Fornæss, John Erik; Peters, Han (Journal article; Peer reviewed, 2019)
      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 ...
    • Dynamics of transcendental hÉnon maps III: Infinite entropy 

      Arosio, Leandro; Benini, Anna Miriam; Fornæss, John Erik; Peters, Han (Peer reviewed; Journal article, 2021)
      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 ...
    • Dynamics of transcendental Hénon maps-II 

      Arosio, Leandro; Benini, Anna Miriam; Fornæss, John Erik; Peters, Han (Peer reviewed; Journal article, 2022)
      Transcendental Hénon maps are the natural extensions of the well investigated complex polynomial Hénon maps to the much larger class of holomorphic automorphisms. We prove here that transcendental Hénon maps always have ...
    • Entropy of transcendental entire functions 

      Benini, Anna Miriam; Fornæss, John Erik; Peters, Han (Peer reviewed; Journal article, 2021)
      We prove that all transcendental entire functions have infinite topological entropy.