Jordan analytic curves which are invariant under rational functions are studied.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm219-3-5,
author = {Alexandre Eremenko},
title = {Invariant curves and semiconjugacies of rational functions},
journal = {Fundamenta Mathematicae},
volume = {219},
year = {2012},
pages = {263-270},
zbl = {1293.30059},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm219-3-5}
}
Alexandre Eremenko. Invariant curves and semiconjugacies of rational functions. Fundamenta Mathematicae, Tome 219 (2012) pp. 263-270. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm219-3-5/