Wandering continua for rational maps

2014/04/30 by Guizhen Cui, Yan Gao, Cui, Guizhen +1
Computer Science · Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Mathematical Dynamics and Fractals #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.1404.7606

openalex publication_date 2014/04/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that a Latt' es map admits an eventually simply-connected wandering continuum precisely when it is flexible. The simply-connected wandering continuum is a line segment in a bi-infinite geodesic under the flat metric.

Citations

• Rational rays and critical portraits of complex polynomials

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