Julia sets of expanding polymodials

We continue studying branched covering maps of the plane with expanding properties, which we call expanding polymodials. They are analogous to piecewise expanding interval maps and have properties similar to those of complex polynomials (in particular, the Julia set and a lot of other notions from c...

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Bibliographic Details
Published inErgodic theory and dynamical systems Vol. 25; no. 6; pp. 1691 - 1718
Main Authors BLOKH, ALEXANDER, CLEVELAND, CHRIS, MISIUREWICZ, MICHAŁ
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 01.12.2005
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Summary:We continue studying branched covering maps of the plane with expanding properties, which we call expanding polymodials. They are analogous to piecewise expanding interval maps and have properties similar to those of complex polynomials (in particular, the Julia set and a lot of other notions from complex dynamics can be defined for expanding polymodials). In this paper we include the case when the Julia set is disconnected, study its topological properties and its Hausdorff dimension.
Bibliography:PII:S0143385705000210
istex:2503A61BE2E70565727CC3929CCAABBC6A144B50
ark:/67375/6GQ-H0DQ1HPF-M
ISSN:0143-3857
1469-4417
DOI:10.1017/S0143385705000210