Berkovich dynamics of twisted rational maps

2023/11/04 by Hongming Nie, Nie, Hongming, Shengyuan Zhao +1
Mathematics · #37P40 #37P50 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2311.02498

openalex publication_date 2023/11/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A twisted rational map over a non-archimedean field K is the composition of a rational function over K and a continuous automorphism of K. We explore the dynamics of some twisted rational maps on the Berkovich projective line.

Related

• On a characterization of polynomials among rational functions in non-archimedean dynamics
• A non-archimedean λ-lemma
• Skew Products on the Berkovich Projective Line
• An a priori bound of rational functions on the Berkovich projective line
• Arbitrary large number of non trivial rescaling limits