Invariant curves and semiconjugacies of rational functions
Alexandre Eremenko
TL;DR
This paper investigates Jordan analytic curves that remain unchanged under rational functions, exploring their properties and the concept of semiconjugacies to understand their behavior and classification.
Contribution
It introduces new insights into invariant Jordan curves under rational functions and examines their semiconjugacies, advancing the understanding of their structure.
Findings
Characterization of invariant Jordan curves
Conditions for semiconjugacies to rational functions
Classification results for invariant curves
Abstract
Jordan analytic curves which are invariant under rational functions are studied
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