Invariant graphs of rational maps

2019/07/05 by Guizhen Cui, Yan Gao, Cui, Guizhen +3
Computer Science · Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #Graph theory and applications #Mathematical Dynamics and Fractals #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.1907.02870

openalex publication_date 2019/07/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let f be a postcritically finite rational map. We prove that, as n large enough, there exists an fⁿ-invariant (finite connected) graph on \widehatℂ such that it contains the postcritical set of f.

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