Entropy of transcendental entire functions

DOI10.1017/etds.2019.65zbMath1459.37032arXiv1808.06360OpenAlexW3100465361WikidataQ114119501 ScholiaQ114119501MaRDI QIDQ5135913

Han Peters, Anna Miriam Benini, John-Erik Fornaess

Publication date: 24 November 2020

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.06360

zbMATH Keywords

entropyhyperbolic metrictranscendental dynamics

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Entire functions of one complex variable (general theory) (30D20) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Topological entropy (37B40)

Related Items (max. 100)

Dynamics of transcendental Hénon maps. III: Infinite entropy ⋮ Homotopy Hubbard trees for post-singularly finite exponential maps ⋮ Strong submeasures and applications to non-compact dynamical systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Topological entropy for nonuniformly continuous maps
• Ergodic invariant probability measures and entire functions
• Topological entropy for noncompact spaces
• On the entropy of holomorphic maps
• Infinite entropy for transcendental entire functions with an omitted value
• The Poincaré Metric on the Twice Punctured Plane and the Theorems of Landau and Schottky
• On Explicit Bounds in Landau's Theorem. II
• Henon-like mappings in C 2
• Topological Entropy for Noncompact Sets
• Erratum to "Entropy for Group Endomorphisms and Homogeneous Spaces"
• Topological Entropy
• Annular itineraries for entire functions
• Entropy for Group Endomorphisms and Homogeneous Spaces

This page was built for publication: Entropy of transcendental entire functions