Classification of Fatou components

In mathematics, Fatou components are components of the Fatou set.

Papers overview

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2018

We prove that there exists a non-trivial transcendental semigroup S such that the wandering (or pre-periodic or periodic…

2015

1. Do tones have features? 1.1 Background on tonal features • Segments are widely accepted to be made up of features encoding…

2014

Given a parabolic map in one dimension $f(z) = z+O(z^2)$, $f \neq Id$, it is known that there exists the analogous of stable and…

2014

We construct Fatou–Bieberbach domains in $\mathbb{C}^{n}$ for n>1 which contain a given compact set K and at the same time avoid…

2011

2010

Hyperbolicity played an important role in the classification of Fatou components for rational functions in the Riemann sphere. In…

2009

The tumor necrosis factor gene (TNF) and lymphotoxin-α gene (LTA) have long attracted attention as candidate genes for…

2006

Consider a fixed point $z_{0}$ of a holomorphic function $f(z)$ . We say $z_{0}$ is parabolic if its multiplier A $=f’(z_{0})$ is…

2002

Let Ω be a nonwandering, nonrecurrent Fatou component for a holomorphic self-map f of P2 of degree d ≥ 2, and let h be a normal…

1982