Wandering domains for non-archimedean quadratic rational functions

2024/04/22 by Nopal-Coello, Víctor · 1 citation
#11S82 #37P05 #37P40 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2404.14614

Abstract

Let ℂ_K be a complete and algebraic closed non-archimedean field with residual characteristic 2. In this paper we prove that there exist a,b∈ℂ_K such that the rational function R(z)=(z²-z)/(bz-(1)/(a)) has wandering components in its Fatou set.

Cited by

• Irrational Fatou components in non-Archimedean dynamics

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