On Julia sets of postcritically finite branched coverings Part II -- S1-parametrization of Julia sets

Atsushi KAMEYAMA

doi:10.2969/jmsj/1191419126

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Home > Journals > J. Math. Soc. Japan > Volume 55 > Issue 2 > Article

April, 2003 On Julia sets of postcritically finite branched coverings Part II --

S^{1}

-parametrization of Julia sets

Atsushi KAMEYAMA

J. Math. Soc. Japan 55(2): 455-468 (April, 2003). DOI: 10.2969/jmsj/1191419126

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Abstract

We prove that for an expanding postcritically finite branched covering $f$ , the Julia set is orientedly $S^{1}$ -parametrizable if and only if $f^{n}$ is combinatorially equivalent to the degenerate mating of two polynomials for some $n>0$ .

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Atsushi KAMEYAMA. "On Julia sets of postcritically finite branched coverings Part II -- $S^{1}$ -parametrization of Julia sets." J. Math. Soc. Japan 55 (2) 455 - 468, April, 2003. https://doi.org/10.2969/jmsj/1191419126