On mutually semiconjugate rational functions

Fedor Pakovich

arXiv:1810.11797·math.DS·September 25, 2019

On mutually semiconjugate rational functions

Fedor Pakovich

PDF

TL;DR

This paper characterizes pairs of rational functions that are mutually semiconjugate, providing a detailed understanding of their structural relationships in complex dynamics.

Contribution

It offers a comprehensive characterization of pairs of rational functions that are mutually semiconjugate, advancing the understanding of their dynamical properties.

Findings

01

Identifies conditions for mutual semiconjugacy between rational functions

02

Provides a classification of such function pairs

03

Enhances understanding of complex dynamical systems

Abstract

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

Peer Reviews

No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.

Videos

No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.