On mutually semiconjugate rational functions

2018/10/28 by Pakovich, Fedor · 2 citations
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1810.11797

Abstract

We characterize pairs of rational functions A, B such that A is semiconjugate to B, and B is semiconjugate to A.

Cited by

• On the multiplier spectrum of polynomials
• Rigidity in Complex Dynamics: Multiplier Spectrum and Dynamical André-Oort Conjecture

Related

• On semiconjugate rational functions
• Semiconjugate rational functions: a dynamical approach
• Partial holomorphic semiconjugacies between rational functions
• Harmonic Analysis on the Positive Rationals. Computation of Character Sums
• Finiteness theorems for commuting and semiconjugate rational functions