Wandering Julia components of cubic rational maps

2023/08/29 by Guizhen Cui, Cui, Guizhen, Wenjuan Peng +3 · 1 citation
Mathematics · #Advanced Differential Equations and Dynamical Systems #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.2308.15125

openalex publication_date 2023/08/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that every wandering Julia component of cubic rational maps eventually has at most two complementary components.

Cited by

• Non-recurrent rational maps with disconnected Julia set

Related

• Non-recurrent rational maps with disconnected Julia set
• Julia sets with a wandering branching point
• Julia sets as buried Julia components
• Renormalization and wandering continua of rational maps
• Wandering Fatou Components and Algebraic Julia Sets