On generalized Lattès maps

Abstract

We introduce a class of rational functions $A:\mathbb{C}{\mathbb{P}}^1\to \mathbb{C}{\mathbb{P}}^1$ which can be considered as a natural extension of the class of Lattès maps and establish basic properties of functions from this class.

The final version, accepted by J. Anal. Math

Cited by in corpus (4)

• Finiteness theorems for commuting and semiconjugate rational functions
• Invariant curves for endomorphisms of ${\mathbb{P}}^1\times {\mathbb{P}}^1$
• Semiconjugate rational functions: a dynamical approach
• Algebraic curves $A^{\circ l}(x)-U(y)=0$ and arithmetic of orbits of rational functions