Dynamics of transcendental Hénon maps-II

Autor: Leandro Arosio, Anna Miriam Benini, John Erik Fornæss, Han Peters
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Popis: 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 non-trivial dynamical behavior, namely that they always admit both periodic and escaping orbits, and that their Julia sets are non-empty and perfect.
Databáze: OpenAIRE