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On Julia sets of postcritically finite branched coverings. II: $$S^1$$-parametrization of Julia sets. (English) Zbl 1162.37319
Summary: 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 $$n>0$$.
Part I, see Zbl 1162.37318.

##### MSC:
 37F50 Small divisors, rotation domains and linearization in holomorphic dynamics 37F20 Combinatorics and topology in relation with holomorphic dynamical systems
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