Wandering Fatou Components and Algebraic Julia Sets

zbMath1392.37117arXiv0909.4528MaRDI QIDQ5177852

Eugenio Trucco

Publication date: 6 March 2015

Full work available at URL: https://arxiv.org/abs/0909.4528

zbMATH Keywords

\(p\)-adic dynamicsBerkovich spaceswandering Fatou components

Mathematics Subject Classification ID

Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Dynamical systems on Berkovich spaces (37P50) Non-Archimedean Fatou and Julia sets (37P40)

Related Items (13)

Degenerations of complex dynamical systems. II: Analytic and algebraic stability ⋮ A two-dimensional polynomial mapping with a wandering Fatou component ⋮ Topology and geometry of the Berkovich ramification locus for rational functions. II ⋮ Topology and geometry of the Berkovich ramification locus for rational functions. I ⋮ Oscillating wandering domains for p$p$‐adic transcendental entire maps ⋮ Variation of canonical height for Fatou points on \(\mathbb{P}^1\) ⋮ Berkovich dynamics of Newton maps ⋮ Rescaling limits in non-Archimedean dynamics ⋮ Puiseux series dynamics of quadratic rational maps ⋮ Continuity of the Green function in meromorphic families of polynomials ⋮ Current trends and open problems in arithmetic dynamics ⋮ On Fibonacci polynomials and wandering domains: Figure 1. ⋮ Rescaling limits of complex rational maps

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