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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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